Chapter 6.3, Problem 3Q

Defeated in his most recent attempt to win a congressional seat because of a sizeable gender gap, a politician has spent the last two years speaking out in favor of women’s rights issues. A newly released poll claims to have contacted a random sample of one hundred twenty of the politician’s current supporters and found that seventy-two were men. In the election that he lost, exit polls indicated that 65% of those who voted for him were men. Using an $\alpha =0.05$ level of significance, test the null hypothesis that the proportion of his male supporters has remained the same. Make the alternative hypothesis one-sided.