Deck 12: Chi-Square Tests and Nonparametric Tests

Question 1

A test for whether one proportion is higher than the other can be performed using the chi-square distribution.

Answer 1

False

Question 2

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the test will involve ________ degree(s) of freedom.

Answer 2

1

Question 3

The squared difference between the observed and theoretical frequencies should be large if there is no significant difference between the proportions.

Answer 3

False

Question 4

TABLE 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
Referring to Table 12-1, what is the critical value when performing a chi-square test on whether the population proportions are different if α = 0.05?

A) ±1.645
B) ±1.96
C) 3.841
D) 2.706

Question 5

TABLE 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
Referring to Table 12-1, what is the value of the test statistic to use in evaluating the alternative hypothesis that there is a difference in the two population proportions using α = 0.10?

A) 4.335
B) 2.706
C) 1.194
D) 0.274

Question 6

A test for the difference between two proportions can be performed using the chi-square distribution.

Question 7

TABLE 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
Referring to Table 12-1, what is the critical value when testing whether the population proportions are different if α = 0.10?

A) ±1.645
B) ±1.96
C) 3.842
D) 2.706

Question 8

If we wish to determine whether there is evidence that the proportion of items of interest is the same in group 1 as in group 2, the appropriate test to use is

A) the Z test.
B) the X² test.
C) Both A and B.
D) Neither A nor B.

Question 9

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the same decision would be made with this test if the level of significance had been 0.01 rather than 0.05.

Question 10

In testing the difference between two proportions using the normal distribution, we may use either a one-tail Chi-square test or two-tail Z test.

Question 11

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the null hypothesis should be rejected.

Question 12

If we use the X² method of analysis to test for the differences among 4 proportions, the degrees of freedom are equal to

A) 3.
B) 4.
C) 5.
D) 1.

Question 13

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the null hypothesis will be rejected if the test statistic is ________.

Question 14

In testing a hypothesis using the X² test, the theoretical frequencies are based on the

A) null hypothesis.
B) alternative hypothesis.
C) normal distribution.
D) None of the above.

Question 15

TABLE 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
Referring to Table 12-1, the company tests to determine at the 0.05 level whether the population proportion has changed from the previous study. Which of the following is most correct?

A) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years.
B) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.
C) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.
D) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.

Question 16

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the p-value of the test is ________.

Question 17

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the hypotheses the dean should use are

A) H₀: π₁ - π₂ = 0 versus H₁: π₁ - π₂ ≠ 0.
B) H₀: π₁ - π₂ ≠ 0 versus H₁: π₁ - π₂ = 0.
C) H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0.
D) H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0.

Question 18

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the same decision would be made with this test if the level of significance had been 0.10 rather than 0.05.

Question 19

TABLE 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
Referring to Table 12-1, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses?

A) H₀: π₁ - π₂ = 0 versus H₁: π₁ - π₂ ≠ 0
B) H₀: π₁ - π₂ ≠ 0 versus H₁: π₁ - π₂ = 0
C) H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0
D) H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0

Question 20

TABLE 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day. He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job offers. If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Table 12-2, the value of the test statistic is ________.

Question 21

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Referring to Table 12-4, the degrees of freedom of the test statistic is

A) 4.
B) 8.
C) 10.
D) 448.

Question 22

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the expected cell frequency in the Female/Non-Local cell is ________.

Question 23

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the decision made suggests that there is a difference between the proportion of males and females who ride local versus non-local routes.

Question 24

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the overall or mean proportion of clear operations is ________.

Question 25

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Referring to Table 12-4, the critical value of the test statistic at 1% level of significance is

A) 7.7794.
B) 13.2767.
C) 20.0902.
D) 23.2093.

Question 26

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the overall or mean proportion of local riders is ________.

Question 27

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Referring to Table 12-4, the calculated value of the test statistic is

A) -0.1777.
B) -0.0185.
C) 1.4999.
D) 1.5190.

Question 28

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the critical value of the test is ________.

Question 29

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the null hypothesis will be rejected.

Question 30

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the decision made suggests that the 4 procedures all have different proportions of clear operations.

Question 31

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the null hypothesis will be rejected.

Question 32

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the critical value of the test is ________.

Question 33

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the expected cell frequency in the Male/Local cell is ________.

Question 34

TABLE 12-3
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:

She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
Referring to Table 12-3, the value of the test statistic is ________.

Question 35

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the value of the test statistic is ________.

Question 36

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the expected cell frequency for the Procedure A/Clear cell is ________.

Question 37

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the test will involve ________ degrees of freedom.

Question 38

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the expected cell frequency for the Procedure D/Return cell is ________.

Question 39

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Referring to Table 12-4, at 1% level of significance

A) there is sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different.
B) there is insufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different.
C) there is sufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
D) there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.

Question 40

TABLE 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Referring to Table 12-4, which test would be used to properly analyze the data in this experiment?

A) X² test of independence
B) X² test for difference among more than two proportions
C) McNemar test for the difference between two proportions
D) McNemar test for the difference among more than two proportions

Question 41

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the form of the alternative hypothesis?

A) H₁: π₁ ≠ π₂ ≠ π₃
B) H₁: π₁ ≠ π₂ = π₃
C) H₁: π₁ = π₂ ≠ π₃
D) H₁: not all Rⱼ are the same

Question 42

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the expected number of shoppers who do not pay by check in year 3 if there is no difference in the proportion of shoppers who pay by check among the three years?

Question 43

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure C and procedure D are different at a 0.05 level of significance.

Question 44

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, the assumptions needed to perform the test are satisfied.

Question 45

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the form of the null hypothesis?

A) H₀: π₁ = π₂ = π₃
B) H₀: π₁ = π₂ ≠ π₃
C) H₀: π₁ ≠ π₂ = π₃
D) H₀: π₁ ≠ π₂ ≠ π₃

Question 46

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, the decision made suggests that the 4 procedures do not all have the same proportion of clear operations.

Question 47

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure A and procedure B are different at a 0.05 level of significance.

Question 48

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure A and procedure C using a 0.05 level of significance?

Question 49

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure C and procedure D using a 0.05 level of significance?

Question 50

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what are the degrees of freedom of the test statistic?

Question 51

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure B and procedure D are different at a 0.05 level of significance.

Question 52

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the expected number of shoppers who pay by check in year 1 if there is no difference in the proportion of shoppers who pay by check among the three years?

Question 53

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure B and procedure C are different at a 0.05 level of significance.

Question 54

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure B and procedure C using a 0.05 level of significance?

Question 55

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure A and procedure D are different at a 0.05 level of significance.

Question 56

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the value of the test statistic?

Question 57

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure B and procedure D using a 0.05 level of significance?

Question 58

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure A and procedure B using a 0.05 level of significance?

Question 59

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, there is sufficient evidence to conclude that the proportions between procedure A and procedure C are different at a 0.05 level of significance.

Question 60

TABLE 12-5
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures and collects the following numbers of patients from their own records:

They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
Referring to Table 12-5, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure A and procedure D using a 0.05 level of significance?

Question 61

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, there is sufficient evidence to conclude that the proportions between year 2 and year 3 are different at a 0.05 level of significance.

Question 62

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, what are the values of the absolute difference and the critical range for the Marascuilo procedure to test for the difference in proportions between Hong Kong and New York using a 0.05 level of significance?

Question 63

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the test will involve ________ degrees of freedom.

Question 64

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, there is sufficient evidence to conclude that the proportions between year 1 and year 2 are different at a 0.05 level of significance.

Question 65

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the critical value of the test is ________.

Question 66

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between year 1 and year 3 using a 0.05 level of significance?

Question 67

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, there is insufficient evidence to conclude that the proportions between year 1 and year 3 are different at a 0.05 level of significance.

Question 68

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the critical value?

Question 69

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, the null hypothesis cannot be rejected.

Question 70

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between year 1 and year 2 using a 0.05 level of significance?

Question 71

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the decision made suggests that the 3 cities all have different proportions of hotels that correctly post minibar charges.

Question 72

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the value of the test statistic is ________.

Question 73

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between year 2 and year 3 using a 0.05 level of significance?

Question 74

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the correct conclusion?

A) There is enough evidence that the proportions are all different in the 3 years.
B) There is not enough evidence that the proportions are all different in the 3 years.
C) There is enough evidence that at least two of the proportions are not equal.
D) There is not enough evidence that at least two of the proportions are not equal.

Question 75

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the decision made suggests that the 3 cities do not all have the same proportion of hotels that correctly post minibar charges.

Question 76

TABLE 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.

Referring to Table 12-6, what is the p-value of the test statistic?

Question 77

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the expected cell frequency for the Paris/No cell is ________.

Question 78

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the null hypothesis will be rejected.

Question 79

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, the expected cell frequency for the Hong Kong/Yes cell is ________.

Question 80

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.

At the 0.05 level of significance, you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
Referring to Table 12-7, there is sufficient evidence to conclude that the proportions between Hong Kong and New York are different at a 0.05 level of significance.