Exam 15: More About Inference for Categorical Variables

A student survey was done to study the relationship between where students live (dormitory, apartment, house, co-op, or parent's home) and how they usually get to campus (walking, bus, bicycle, car, or subway). What are the degrees of freedom for the chi-square statistic?

For a chi-square test for goodness-of-fit, which of the following is a valid null hypothesis?

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

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 is the expected number of female respondents with a graduate degree under the null hypothesis?

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: -Another part of the output 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 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 is the null hypothesis for this situation?

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 white respondents who agree that the human lot is getting worse?

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

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 null hypothesis for this situation?

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 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 null hypothesis for this chi-square goodness of fit test?