In a recent poll, 70% of the 600 female respondents said they would vote for a woman president, while 50% of the 500 male respondents said they would vote for a woman president. a) Construct a 95% confidence interval around the difference in population proportions. b) Test the null hypothesis that the percentage of females who would vote for a woman president is less than or equal to the percentage of males who would so vote. Use a significance level of .05.

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