7. Gender gap. A presidential candidate fears he has

Chapter 22, Problem 7

(choose chapter or problem)

7. Gender gap. A presidential candidate fears he has aproblem with women voters. His campaign staff plansto run a poll to assess the situation. Theyll randomlysample 300 men and 300 women, asking if they have afavorable impression of the candidate. Obviously, thestaff cant know this, but suppose the candidate has apositive image with 59% of males but with only 53% offemales.a) What sampling design is his staff planning to use?b) What difference would you expect the poll to show?c) Of course, sampling error means the poll wont reflectthe difference perfectly. Whats the standard deviationfor the difference in the proportions?d) Sketch a sampling model for the size difference inproportions of men and women with favorable impressionsof this candidate that might appear in a polllike this.e) Could the campaign be misled by the poll, concludingthat there really is no gender gap? Explain.