Question 1

A chi-squared goodness-of-fit test is always a two-tailed test.

Accepted Answer

A) True 
 B)False

Question 2

If each element in a population is classified into one and only one of several categories, the population is:

Accepted Answer

A) normal. 
B) multinomial. 
C) chi-squared. 
D) None of these choices. 
A) normal. 
B) multinomial. 
C) chi-squared. 
D) None of these choices.

Question 3

To produce expected values for a test of a contingency table, you multiply estimated joint probabilities for each cell by the total sample size, n .

Accepted Answer

A) True 
 B)False

Question 4

How does a multinomial distribution differ from a binomial distribution?

Accepted Answer

A) A binomial has only two possible categories and a multinomial can have more. 
B) A binomial has a fixed number of n trials. A multinomial has a fixed number of nk trials, where k is the number of categories. 
C) The probabilities in a binomial distribution are always p and 1 - p . The trials in a multinomial distribution are always p\k and (1 - p\k ). 
D) All of these choices are true. 
A) A binomial has only two possible categories and a multinomial can have more. 
B) A binomial has a fixed number of n trials. A multinomial has a fixed number of nk trials, where k is the number of categories. 
C) The probabilities in a binomial distribution are always p and 1 - p . The trials in a multinomial distribution are always p\k and (1 - p\k ). 
D) All of these choices are true.

Question 5

For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of 0.05, the test statistics is 25.168. The chi-squared value from the table is 21.0261. These results will lead us to reject the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 6

Consumer panel preferences for three proposed Cafes are as follows:   Use 0.05 level of significance and test to see if there is a preference among the three Cafes, according to the data.

Accepted Answer

H ₀: p ₁ = p ₂ = p ₃ = 1\3 H ₁: At least two

Question 7

How do you calculate the expected frequency for one cell in a goodness-of-fit test?

Accepted Answer

A) The expected frequency is equal to the proportion specified in H 0 for that cell. 
B) Use the total number of observations divided by the number of categories. 
C) Multiply the specified proportion for that cell (found in H 0)by the total sample size. 
D) None of these choices. 
A) The expected frequency is equal to the proportion specified in H 0 for that cell. 
B) Use the total number of observations divided by the number of categories. 
C) Multiply the specified proportion for that cell (found in H 0)by the total sample size. 
D) None of these choices.

Question 8

The number of degrees of freedom for a contingency table with r rows and c columns is:

Accepted Answer

A) r + c 
B) rc 
C) ( r - 1 )( c - 1 ) 
D) None of these choices. 
A) r + c 
B) rc 
C) ( r - 1 )( c - 1 ) 
D) None of these choices.

Question 9

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

Accepted Answer

The answer of The alternative hypothesis in a chi-squared test...

Question 10

Five types of apples are displayed side by side in several supermarkets in the city of Miami. It was noted that in one day, 180 customers purchased apples. Of these, 30 picked type A , 40 picked type B , 25 picked type C , 35 picked type D , and 50 picked type E . In Miami, can you conclude at the 5% significance level that there is a preferred type of apples?

Accepted Answer

H ₀: p ₁ = p ₂ = p ₃ = p ₄ = p ₅= 0.20 H ₁: At

Question 11

Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car. A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1)child present (yes
o)and (2)seat belt usage (worn or not worn)during the accident. The data are shown in the table below. 
     {Seat Belts Narrative} How many degrees of freedom are associated with the proper test in this experiment?

Accepted Answer

df = (2 -

Question 12

Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car. A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1)child present (yes
o)and (2)seat belt usage (worn or not worn)during the accident. The data are shown in the table below.   {Seat Belts Narrative} Which test would be used to properly analyze the data in this experiment?

Accepted Answer

c ² test of

Question 13

The total of the observed frequencies in a multinomial experiment must equal nk where n is the number of trials and k is the number of categories.

Accepted Answer

A) True 
 B)False

Question 14

The sampling distribution of the test statistic for a goodness-of-fit test with k categories is a:

Accepted Answer

A) chi-squared distribution with k - 1 degrees of freedom. 
B) normal distribution. 
C) Student t -distribution with k - 1 degrees of freedom. 
D) None of these choices. 
A) chi-squared distribution with k - 1 degrees of freedom. 
B) normal distribution. 
C) Student t -distribution with k - 1 degrees of freedom. 
D) None of these choices.

Question 15

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18. Using a chi-squared table, the most accurate statement that can be made is:

Accepted Answer

A) p -value is greater than 0.05 
B) p -value is smaller than 0.025 
C) p -value is greater than 0.025 but smaller than 0.05 
D) p -value is greater than 0.10 
A) p -value is greater than 0.05 
B) p -value is smaller than 0.025 
C) p -value is greater than 0.025 but smaller than 0.05 
D) p -value is greater than 0.10

Question 16

A chi-squared test of a contingency table can be used to determine whether two nominal variables are ____________________.

Accepted Answer

The answer of A chi-squared test of a contingency table...

Question 17

The owner of a consumer products company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by age. Is there sufficient evidence to conclude that the level of job satisfaction is related to age? Use a = 0.10.

Accepted Answer

H ₀: Job satisfaction and age are indepen

Question 18

When k = 2 the ____________________ experiment is identical to the ____________________ experiment.

Accepted Answer

multinomia

Question 19

If the expected frequencies and the observed frequencies are quite different, you are likely to ____________________ the null hypothesis.

Accepted Answer

The answer of If the expected frequencies and the observed...

Question 20

To address whether two variables are related in a contingency table, the alternative hypothesis, H 1, is:

Accepted Answer

A) The two variables are independent. 
B) The two variables are dependent. 
C) The two variables are equal. 
D) None of these choices. 
A) The two variables are independent. 
B) The two variables are dependent. 
C) The two variables are equal. 
D) None of these choices.

A chi-squared goodness-of-fit test is always a two-tailed test.

If each element in a population is classified into one and only one of several categories, the population is:

To produce expected values for a test of a contingency table, you multiply estimated joint probabilities for each cell by the total sample size, n .

How does a multinomial distribution differ from a binomial distribution?

For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of 0.05, the test statistics is 25.168. The chi-squared value from the table is 21.0261. These results will lead us to reject the null hypothesis.

Consumer panel preferences for three proposed Cafes are as follows: Use 0.05 level of significance and test to see if there is a preference among the three Cafes, according to the data.

How do you calculate the expected frequency for one cell in a goodness-of-fit test?

The number of degrees of freedom for a contingency table with r rows and c columns is:

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

The total of the observed frequencies in a multinomial experiment must equal nk where n is the number of trials and k is the number of categories.

The sampling distribution of the test statistic for a goodness-of-fit test with k categories is a:

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18. Using a chi-squared table, the most accurate statement that can be made is:

A chi-squared test of a contingency table can be used to determine whether two nominal variables are ____________________.

The owner of a consumer products company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by age. Is there sufficient evidence to conclude that the level of job satisfaction is related to age? Use a = 0.10.

When k = 2 the experiment is identical to the experiment.

If the expected frequencies and the observed frequencies are quite different, you are likely to ____________________ the null hypothesis.

To address whether two variables are related in a contingency table, the alternative hypothesis, H ₁, is:

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

Exam 15: Chi-Squared Tests

A chi-squared goodness-of-fit test is always a two-tailed test.

If each element in a population is classified into one and only one of several categories, the population is:

To produce expected values for a test of a contingency table, you multiply estimated joint probabilities for each cell by the total sample size, n .

How does a multinomial distribution differ from a binomial distribution?

For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of 0.05, the test statistics is 25.168. The chi-squared value from the table is 21.0261. These results will lead us to reject the null hypothesis.

Consumer panel preferences for three proposed Cafes are as follows: Use 0.05 level of significance and test to see if there is a preference among the three Cafes, according to the data.

How do you calculate the expected frequency for one cell in a goodness-of-fit test?

The number of degrees of freedom for a contingency table with r rows and c columns is:

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

The total of the observed frequencies in a multinomial experiment must equal nk where n is the number of trials and k is the number of categories.

The sampling distribution of the test statistic for a goodness-of-fit test with k categories is a:

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18. Using a chi-squared table, the most accurate statement that can be made is:

A chi-squared test of a contingency table can be used to determine whether two nominal variables are ____________________.

The owner of a consumer products company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by age. Is there sufficient evidence to conclude that the level of job satisfaction is related to age? Use a = 0.10.

When k = 2 the ____________________ experiment is identical to the ____________________ experiment.

If the expected frequencies and the observed frequencies are quite different, you are likely to ____________________ the null hypothesis.

To address whether two variables are related in a contingency table, the alternative hypothesis, H 1, is:

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

When k = 2 the experiment is identical to the experiment.

To address whether two variables are related in a contingency table, the alternative hypothesis, H ₁, is: