Exam 15: More About Inference for Categorical Variables

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 p-value range?

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: -What is the percentage of black respondents who agree that the human lot is getting worse?

Use the following information for questions: A randomly selected group 78 seniors is asked about their plans after graduation. Is there a relationship between the gender of the students and what they plan to do when they graduate from college? SPSS was used to analyze the data. Part of the output is shown below: -What percentage of female students are planning to go to graduate school?

Suppose that a two-way table displaying sample information about gender and opinion about the legalization of marijuana (yes or no) is examined using a chi-square test. The necessary conditions are met and the chi-square value is calculated to be 15. What conclusion can be made?

For which of the following tests is the null hypothesis not of the form parameter = null value?

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. -Among those first wed under the age of 20, what proportion has ever been divorced?

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: -The chi-square test statistic = 0.002. What is the p-value or p-value range?

Use the following information for questions: The table below shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. -What are the degrees of freedom for this test?

Use the following information for questions: The table below shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. -Contributions to the chi-square test statistic of 4 cells are greater than 3. With this information, what do you already know about the p-value?

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. -At a significance level of 0.05, what is the conclusion?

Use the following information for questions: The table below shows the opinions of 908 respondents in the General Social Survey to the question "Do you believe there is life after death?" -If the null hypothesis (that there is no association between gender and believing in life after death) were true, what is the expected number of male respondents who believe in life after death?

A chi-square statistic was computed for a two-way table having 20 degrees of freedom. The value of the statistic was 30.00. What is the p-value or p-value range?

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. -What is the value of the chi-square statistic for testing the null hypothesis that equal proportions of people find each advertisement to be most effective?

A student survey was done to study the relationship between class standing (freshman, sophomore, junior, or senior) and favorite type of take-out food (pizza, Chinese food, burgers, sandwich, or other). The chi-square test statistic was 25. What is the p-value or p-value range?

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: -What is the p-value or p-value range?

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: -At a significance level of 0.05, what is the conclusion?

Use the following information for questions: At entrance C of the football stadium there are 3 swing gates for the spectators. On football Saturday, two high school students sit at this entrance and count the number of people who enter through each of the swing gates for an hour. On Monday, during their statistics class, they wish to determine if the percentages of people who use each of the three gates on football Saturday are equal. The data they collected during the hour on football Saturday is shown below. -If the null hypothesis were true, what are the expected numbers of spectators in the sample for each gate?

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. -At a significance level of 0.05, what is your conclusion?

Which of the following relationships could be analyzed using a chi-square test?

A chi-square statistic was computed for a two-way table having 4 degrees of freedom. The value of the statistic was 9.49. What is the p-value?