Question 1

A chi-square statistic was computed for a two-way table having 20 degrees of freedom. The value of the statistic was 29.69. What is the p-value?

Accepted Answer

A)  0.025 
B)  0.05 
C)  0.075 
D)  None of the above 
A)  0.025 
B)  0.05 
C)  0.075 
D)  None of the above

Question 2

Use the following information for questions:
 In the General Social Survey, respondents were asked "Do you favor or oppose the death penalty for persons convicted of murder?" A two-way table summarizing the results for 1447 respondents, by gender, is shown below:  
-If the null hypothesis were true, what is the expected number of males in the sample who would favor the death penalty?

Accepted Answer

A)  137.6 
B)  498.4 
C)  534.0 
D)  None of the above 
A)  137.6 
B)  498.4 
C)  534.0 
D)  None of the above

Question 3

Use the following information for questions:
 In the General Social Survey, respondents were asked, "Do you agree with the following statement? "In spite of what some people say, the lot (situation/condition) of the average man is getting worse, not better." The results, for 989 respondents by gender, are shown below.  
-If the null hypothesis were true, what is the expected number of women in the sample who agree that the lot of the average man is getting worse?

Accepted Answer

The answer of Use the following information for questions:
 In...

Question 4

A student survey was done to study the relationship between gender and favorite television program watched on Sunday mornings (sports, news, or other). The chi-square test statistic was 10. What is the p-value or p-value range?

Accepted Answer

A)  0.005 < p-value < 0.01 
B)  0.01 < p-value < 0.025 
C)  0.025 < p-value < 0.05 
D)  None of the above 
A)  0.005 < p-value < 0.01 
B)  0.01 < p-value < 0.025 
C)  0.025 < p-value < 0.05 
D)  None of the above

Question 5

Use the following information for questions:
 In the General Social Survey, respondents were asked "If your party nominated a woman for President, would you vote for her if she were qualified for the job?" A two-way table summarizing the results for 953 respondents, by gender, is shown below:  
-If the null hypothesis of equal proportions of "Yes" votes for males and females were true, what is the expected number of females in the sample who would give a "Yes" response to having a female president?

Accepted Answer

A)  488.0 
B)  478.4 
C)  344.6 
D)  None of the above 
A)  488.0 
B)  478.4 
C)  344.6 
D)  None of the above

Question 6

Use the following information for questions:
 In the 1994 General Social Survey, a nationwide survey done every other year in the United States, the 1,185 respondents who had ever been married were asked the age at which they first wed and whether they had ever been divorced. The two-way table below summarizes the observed counts for the relationship between "age first wed" (categorized into four age groups) and "ever divorce" (no or yes). A chi-square value and p-value are given below the table.  
-The p-value is given as 0.000. This value was calculated as

Accepted Answer

A)  the area to the right of 44.00 under a chi-square distribution with df = 3. 
B)  the area to the right of 44.00 under a chi-square distribution with df = 8. 
C)  the area to the left of 44.00 under a chi-square distribution with df = 3. 
D)  the area to the left of 44.00 under a chi-square distribution with df = 8. 
A)  the area to the right of 44.00 under a chi-square distribution with df = 3. 
B)  the area to the right of 44.00 under a chi-square distribution with df = 8. 
C)  the area to the left of 44.00 under a chi-square distribution with df = 3. 
D)  the area to the left of 44.00 under a chi-square distribution with df = 8.

Question 7

Use the following information for questions:
In the General Social Survey, respondents were asked if they agreed with the following statement: "In spite of what some people say, the lot (situation/condition) of the average man is getting worse, not better." Minitab output, summarizing the results for 989 respondents by race, is shown below:  
-State the null hypothesis and alternative hypotheses.

Accepted Answer

Null hypothesis: There is no r

Question 8

Use the following information for questions:
 In the General Social Survey, respondents were asked what they thought was most important to get ahead: hard work, lucky breaks, or both. Minitab output for 1026 respondents, by gender, is shown below:  
-What are the degrees of freedom for the test statistic?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  None of the above 
A)  2 
B)  3 
C)  4 
D)  None of the above

Question 9

Use the following information for questions:
 A student wants to test a claim made by a pizza company. The claim is that the proportion of students whose favorite pizza is pepperoni is 40%, vegetarian is 40%, and all others is 20%. The student takes a random sample of 100 students, and obtained the following results.  
-What is the value of the chi-square goodness of fit statistic?

Accepted Answer

The answer of Use the following information for questions:
 A...

Question 10

Use the following information for questions:
In the General Social Survey, respondents were asked "If your party nominated a woman for President, would you vote for her if she were qualified for the job?" Minitab output for 953 respondents, by race, is shown below:  
-At a significance level of 0.05, what is the conclusion?

Accepted Answer

A)  Reject the null hypothesis and conclude there is no relationship between the variables. 
B)  Reject the null hypothesis and conclude there is a relationship between the variables. 
C)  Do not reject the null hypothesis and conclude the evidence is not strong enough to show a relationship between the two variables. 
D)  Do not reject the null hypothesis and conclude there is a relationship between the variables. 
A)  Reject the null hypothesis and conclude there is no relationship between the variables. 
B)  Reject the null hypothesis and conclude there is a relationship between the variables. 
C)  Do not reject the null hypothesis and conclude the evidence is not strong enough to show a relationship between the two variables. 
D)  Do not reject the null hypothesis and conclude there is a relationship between the variables.

Question 11

Use the following information for questions:
In the General Social Survey, respondents were asked "If your party nominated a woman for President, would you vote for her if she were qualified for the job?" Minitab output for 953 respondents, by race, is shown below:  
-What are the degrees of freedom for the test statistic?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  None of the above 
A)  2 
B)  3 
C)  4 
D)  None of the above

Question 12

Use the following information for questions:
 In the General Social Survey, respondents were asked "Do you favor or oppose the death penalty for persons convicted of murder?" A two-way table summarizing the results for 1447 respondents, by gender, is shown below:  
-The chi-square test statistic = 20.9. What is the p-value or p-value range?

Accepted Answer

A)  p-value < 0.001 
B)  0.001 < p-value < 0.005 
C)  0.05 < p-value < 0.075 
D)  None of the above 
A)  p-value < 0.001 
B)  0.001 < p-value < 0.005 
C)  0.05 < p-value < 0.075 
D)  None of the above

Question 13

Use the following information for questions:
 A gambler wanted to test whether or not a die was fair. He rolled the die 180 times and got the results shown below. For example, the number "1" appeared on 40 rolls.  
-What is the value for the goodness of fit chi-square statistic?

Accepted Answer

A)  0.00 
B)  6.50 
C)  13.33 
D)  None of the above 
A)  0.00 
B)  6.50 
C)  13.33 
D)  None of the above

Question 14

Use the following information for questions:
Is there a relationship between the color of one's eyes and the comparative lengths of one's index and ring fingers? Students were asked "which finger is longer: your index finger or your ring finger? Or are they the same?" They also reported the color of their eyes (blue, brown, green, or hazel). The analysis of the results is given below.  
-From the analysis shown, what can we conclude at the 10%significance level?

Accepted Answer

A)  There is a statistically significant relationship between eye color and the comparative length of the index and ring fingers. 
B)  There is no statistically significant relationship between eye color and the comparative length of the index and ring fingers. 
C)  There is insufficient information given because the degrees of freedom of the test statistic are not specified. 
D)  There is a statistically significant relationship between eye color and the comparative length of the index and ring fingers for some eye colors but not for others. 
A)  There is a statistically significant relationship between eye color and the comparative length of the index and ring fingers. 
B)  There is no statistically significant relationship between eye color and the comparative length of the index and ring fingers. 
C)  There is insufficient information given because the degrees of freedom of the test statistic are not specified. 
D)  There is a statistically significant relationship between eye color and the comparative length of the index and ring fingers for some eye colors but not for others.

Question 15

Use the following information for questions:
 The table below shows the responses from a sample of 680 people in the General Social Survey to the question, "Do you sometimes drink more than you think you should?"  
-Are the results statistically significant at α = .01?

Accepted Answer

At df = 1, we have a critical

Question 16

Use the following information for questions:
Is there a relationship between the color of one's eyes and the comparative lengths of one's index and ring fingers? Students were asked "which finger is longer: your index finger or your ring finger? Or are they the same?" They also reported the color of their eyes (blue, brown, green, or hazel). The analysis of the results is given below.  
-What is the appropriate statistical technique to analyze the data?

Accepted Answer

A)  A chi-square test for association. 
B)  A chi-square goodness-of-fit test. 
C)  A two-sample t-test. 
D)  Analysis of variance. 
A)  A chi-square test for association. 
B)  A chi-square goodness-of-fit test. 
C)  A two-sample t-test. 
D)  Analysis of variance.

Question 17

Use the following information for questions:
 In the General Social Survey, respondents were asked "Would you approve of an adult male punching a stranger if the stranger was drunk and bumped into the man and his wife on the street?" A two-way table summarizing the results for 1006 respondents, by gender, is shown below:  
-If the null hypothesis were true, what is the expected number of males in the sample who think it would be all right to punch a drunken stranger?

Accepted Answer

A)  35.19 
B)  45.81 
C)  401.81 
D)  None of the above 
A)  35.19 
B)  45.81 
C)  401.81 
D)  None of the above

Question 18

Use the following information for questions:
 A marketing research group shows three different television advertisements for the same product to each of sixty people to see if the ads are equally effective or not. Each participant is asked which of the three advertisements they believe is most effective. The following table summarizes the counts of how many people found each advertisement to be the most effective.  
-The degrees of freedom for a chi-square test in this situation are

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  59 
A)  1 
B)  2 
C)  3 
D)  59

Question 19

A chi-square statistic was computed for a two-way table having 1 degree of freedom. The value of the statistic was 10.83. What is the p-value?

Accepted Answer

A)  0.001 
B)  0.005 
C)  0.01 
D)  None of the above 
A)  0.001 
B)  0.005 
C)  0.01 
D)  None of the above

Question 20

Use the following information for questions:
 Students in a statistics class were asked, "With whom do you find it easier to make friends: person of the same sex, person of opposite sex, or no preference?" A table summarizing the responses by gender is given below. Minitab results for a chi-square test for these data were "Chi-Sq = 7.15 p-value = 0.028.  
-What is the expected number of female students who think it is easier to make friends with a girl, if the null hypothesis were true?

Accepted Answer

A)  20 
B)  25 
C)  30 
D)  32 
A)  20 
B)  25 
C)  30 
D)  32

A chi-square statistic was computed for a two-way table having 20 degrees of freedom. The value of the statistic was 29.69. What is the p-value?

A student survey was done to study the relationship between gender and favorite television program watched on Sunday mornings (sports, news, or other). The chi-square test statistic was 10. What is the p-value or p-value range?

Use the following information for questions: A gambler wanted to test whether or not a die was fair. He rolled the die 180 times and got the results shown below. For example, the number "1" appeared on 40 rolls. -What is the value for the goodness of fit chi-square statistic?

Use the following information for questions: The table below shows the responses from a sample of 680 people in the General Social Survey to the question, "Do you sometimes drink more than you think you should?" -Are the results statistically significant at α = .01?

A chi-square statistic was computed for a two-way table having 1 degree of freedom. The value of the statistic was 10.83. What is the p-value?

Statistics Success Stories and Cautionary Tales

Turning Data Into Information

Relationships Between Quantitative Variables

Relationships Between Categorical Variables

Sampling: Surveys and How to Ask Questions

Gathering Useful Data for Examining Relationships

Probability

Random Variables

Understanding Sampling Distributions: Statistics As Random Variables

Estimating Proportions With Confidence

Estimating Means With Confidence

Testing Hypotheses About Proportions

Testing Hypotheses About Means

Inference About Simple Regression

Analysis of Variance

Turning Information Into Wisdom

Filters

Exam 15: More About Inference for Categorical Variables

A chi-square statistic was computed for a two-way table having 20 degrees of freedom. The value of the statistic was 29.69. What is the p-value?

A student survey was done to study the relationship between gender and favorite television program watched on Sunday mornings (sports, news, or other). The chi-square test statistic was 10. What is the p-value or p-value range?

Use the following information for questions: A gambler wanted to test whether or not a die was fair. He rolled the die 180 times and got the results shown below. For example, the number "1" appeared on 40 rolls. -What is the value for the goodness of fit chi-square statistic?

Use the following information for questions: The table below shows the responses from a sample of 680 people in the General Social Survey to the question, "Do you sometimes drink more than you think you should?" -Are the results statistically significant at α = .01?

A chi-square statistic was computed for a two-way table having 1 degree of freedom. The value of the statistic was 10.83. What is the p-value?

Statistics Success Stories and Cautionary Tales

Turning Data Into Information

Relationships Between Quantitative Variables

Relationships Between Categorical Variables

Sampling: Surveys and How to Ask Questions

Gathering Useful Data for Examining Relationships

Probability

Random Variables

Understanding Sampling Distributions: Statistics As Random Variables

Estimating Proportions With Confidence

Estimating Means With Confidence

Testing Hypotheses About Proportions

Testing Hypotheses About Means

Inference About Simple Regression

Analysis of Variance

Turning Information Into Wisdom

Filters