In surveys conducted during August 2016 (months before the election), the Pew Research Center reported that among 752 men, 55% indicated that regardless of how they felt about Hillary Clinton, the election of a women as president would be very important historically. Among 815 women, 65% reported the same. Do these differences reflect a significant gender gap?

a. If you wanted to test the research hypothesis that the proportion of male voters who believe the historical importance of the election of a woman as president is less than the proportion of female voters who believe the same, would you conduct a one-or a two-tailed test?

b. Test the research hypothesis at the .05 alpha level. What do you conclude?

c. If alpha were changed to 01, would your decision remain the same?