A poll of 1021 U.S. adults split the sample into four age​groups: ages​ 18-29, 30-49,​ 50-64, and​ 65+. In the youngest age​group, 60​% said that they thought the U.S. was ready for a woman​president, as opposed to 37​% who said​ \"no, the country was not​ready\" (3% were​ undecided). The sample included 255​18- to​29-year olds.

​a) Do you expect the 90% confidence interval for the trueproportion of all​ 18- to​ 29-year olds who think the U.S. is readyfor a woman president to be wider or narrower than the

90

​%

confidence interval for the true proportion of all U.S.​adults?

​b) Construct a

90

​%

confidence interval for the true proportion of all​ 18- to​29-year olds who believe the U.S. is ready for a womanpresident.

​a) The

90

​%

confidence interval for the true proportion of​ 18- to​ 29-yearolds who think the U.S. is ready for a woman president will beabout

â–¼

twice

equally

four times one-fourth one-half as wide as the 90% confidenceinterval for the true proportion of all U.S. adults who thinkthis.

​b) The 90% confidence interval is ( % , % )

.​(Round to one decimal place as​ needed.)