Question 1

True or False: The chi-square test of independence requires that the expected frequency in each
cell to be at least 5.

Accepted Answer

A) True 
 B)False

Question 2

Scenario 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. 
-

Accepted Answer

Question 3

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

Accepted Answer

A) True 
 B)False

Question 4

SCENARIO 12-7  .
-Referring to Scenario 12-7, the expected cell frequency for the Hong Kong/Yes cell is
__________.

Accepted Answer

The answer of SCENARIO 12-7  .
-Referring to Scenario 12-7,...

Question 5

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table:  He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-Referring to Scenario 12-11, the test will involve _________ degrees of freedom.

Accepted Answer

The answer of SCENARIO 12-11
The director of admissions at a...

Question 6

SCENARIO 12-8 
-Referring to Scenario 12-8, which test would be used to properly analyze the data in this
Experiment?

Accepted Answer

A)   test for independence 
B)   test for differences among more than two proportions 
C)  Wilcoxon rank sum test for independent populations 
D)  Kruskal-Wallis rank test

Question 7

SCENARIO 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.
-True or False: Referring to Scenario 12-2, the null hypothesis should be rejected.

Accepted Answer

A) True 
 B)False

Question 8

SCENARIO 12-10 
-Referring to Scenario 12-10, what is the expected number of employees with less than 1 year of
Training time and a high defect rate?

Accepted Answer

A)  4.17 
B)  4.60 
C)  5.28 
D)  9.17

Question 9

SCENARIO 12-10 
-Referring to Scenario 12-10, find the rejection region necessary for testing at the 0.05 level of
Significance whether there is a relationship between defect rate and years of experience.

Accepted Answer

Question 10

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

Accepted Answer

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

Question 11

True or False: Referring to Scenario 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.

Accepted Answer

A) True 
 B)False

Question 12

Which of the following is a "robust" test procedure against the violation of distribution
Assumptions?

Accepted Answer

Question 13

When testing for independence in a contingency table with 3 rows and 4 columns, there are
________ degrees of freedom.

Accepted Answer

A)  5 
B)  6 
C)  7 
D)  12

Question 14

SCENARIO 12-13
Recent studies have found that American children are more obese than in the past.The amount of
time children spent watching television has received much of the blame.A survey of 100 ten-year-
olds revealed the following with regards to weights and average number of hours a day spent
watching television.We are interested in testing whether the mean number of hours spent watching
TV and weights are independent at 1% level of significance.  
12-30 Chi-Square and Nonparametric Tests
-Referring to Scenario 12-13, the critical value of the test will be

Accepted Answer

A)  6.635 
B)  13.277 
C)  14.860 
D)  21.666

Question 15

SCENARIO 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 Scenario 12-2, the value of the test statistic is ________.

Accepted Answer

The answer of SCENARIO 12-2
The dean of a college is...

Question 16

SCENARIO 12-7  .
-True or False: Referring to Scenario 12-7, the null hypothesis will be rejected.

Accepted Answer

A) True 
 B)False

Question 17

SCENARIO 12-16 
-Referring to Scenario 12-16, the sporting goods retailer decided to perform a Kruskal-Wallis
test even though the sample size in each of the 4 groups is not larger than 5.The null hypothesis
of the test is ________.

Accepted Answer

The answer of SCENARIO 12-16 
-Referring to Scenario 12-16, the...

Question 18

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table:  He will use this table to do a chi-square test of independence with a level of significance of 0.01.
-True or False: Referring to Scenario 12-11, the decision made suggests that admissions status
at the college is independent of the type of community in which an applicant resides.

Accepted Answer

A) True 
 B)False

Question 19

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks 
-Referring to Scenario 12-12, how many children in the survey spent less than 2 hours watching
TV and more than 2 hours reading story books on average?

Accepted Answer

A)  8 
B)  130 
C)  175 
D)  687

Question 20

SCENARIO 12-16 
-Referring to Scenario 12-16, the calculation of the Kruskal-Wallis test statistic H involves
ranking the observations.Construct a table containing these ranks.

Accepted Answer

The answer of SCENARIO 12-16 
-Referring to Scenario 12-16, the...

Exam 12: Chi-Square and Nonparametric

True or False: The chi-square test of independence requires that the expected frequency in each cell to be at least 5.

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

SCENARIO 12-7 . -Referring to Scenario 12-7, the expected cell frequency for the Hong Kong/Yes cell is __________.

SCENARIO 12-8 -Referring to Scenario 12-8, which test would be used to properly analyze the data in this Experiment?

SCENARIO 12-10 -Referring to Scenario 12-10, what is the expected number of employees with less than 1 year of Training time and a high defect rate?

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

True or False: Referring to Scenario 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.

When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom.

SCENARIO 12-7 . -True or False: Referring to Scenario 12-7, the null hypothesis will be rejected.

SCENARIO 12-16 -Referring to Scenario 12-16, the sporting goods retailer decided to perform a Kruskal-Wallis test even though the sample size in each of the 4 groups is not larger than 5.The null hypothesis of the test is ________.

SCENARIO 12-16 -Referring to Scenario 12-16, the calculation of the Kruskal-Wallis test statistic H involves ranking the observations.Construct a table containing these ranks.