Refer to the previous exercise on a woman's role. In 2004, of 411 male respondents, 153 (37.2%) replied yes. Of 472 female respondents, 166 (35.2%) replied yes.

(a) Set up notation and specify hypotheses for the hypothesis of no difference between the pop- ulation proportions of males and of females who would respond yes.

(b) Estimate the population proportion presum- ing Ho, find the standard error of the sam- ple difference of proportions, and find the test statistic.

(c) Find the P value for the two-sided alternative. Interpret.

(d) Of 652 respondents having less education than a college degree, 40.0% replied yes. Of 231 respondents having at least a college degree,