During the 2012 Presidential campaign, pollsters consistently reported how Obama's supporters were mostly women, with men less likely to support his candidacy. In surveys conducted during March 2012 (months before the election), the Pew Research Center reported that among 762 men, 49% indicated that they supported President Obama. Among 741 women, 58% reported the same. Do these differences reflect a significant gender gap among Obama supporters?
a. If you wanted to test the research hypothesis that the proportion of male voters supporting President Obama is less than the proportion of female voters, 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?