C9

.

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 woman as president would be very important historically. Among 815 women, 65% reported the same. Do these differences reflect a significant gender gap?

1. If you wanted to test the research hypothesis that the proportion of male voters who believe in 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 oneor a two-tailed test?

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

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