28. Gender gap. Candidates for political office realize

Chapter 22, Problem 28

(choose chapter or problem)

28. Gender gap. Candidates for political office realize thatdifferent levels of support among men and women maybe a crucial factor in determining the outcome of an election.One candidate finds that 52% of 473 men polled saythey will vote for him, but only 45% of the 522 women inthe poll express support.a) Write a 95% confidence interval for the percent ofmale voters who may vote for this candidate. Interpretyour interval.b) Write and interpret a 95% confidence interval for thepercent of female voters who may vote for him.c) Do the intervals for males and females overlap? Whatdo you think this means about the gender gap?d) Find a 95% confidence interval for the difference inthe proportions of males and females who will votefor this candidate. Interpret your interval.e) Does this interval contain zero? What does that mean?f) Why do the results in parts c and e seem contradictory?If we want to see if there is a gender gap amongvoters with respect to this candidate, which is the correctapproach? Why?