The following 2 × 2 contingency table shows data for sex and opinion about the legalization of marijuana for respondents in the 2008 General Social Survey in which a random sample of U.S. adults was surveyed. (Raw data are in the GSS-08 dataset on the companion website.)
a. Write null and alternative hypotheses about the relationship between the two variables in this problem.
b. For this table, the value of the chi-square statistic is 5.34, and the corresponding p-value is .02. Based on these results, state a conclusion about the two variables and explain how you came to this conclusion.
c. For each sex separately, calculate the percentage who were opposed to the legalization of marijuana. Explain why these percentages are evidence that the two variables in this exercise are related.
d. Verify that the value of the chi-square statistic is 5.34.