A poll of 1031 U.S. adults split the sample into four agegroups: ages18-29, 30-49,50-64, and65+. In the youngest agegroup, 62% said that they thought the U.S. was ready for a womanpresident, as opposed to 35% who said"no, the country was notready" (3% wereundecided). The sample included 258 18- to29-year olds.

a) Do you expect the 98% confidence interval for the true proportion of all18- to29-year olds who think the U.S. is ready for a woman president to be wider or narrower than the 98% confidence interval for the true proportion of all U.S.adults?

b) Construct a 98% confidence interval for the true proportion of all18- to29-year olds who believe the U.S. is ready for a woman president.