In a survey of 1000 randomly selected adults in the UnitedStates, participants were asked what their most favorite and whattheir least favorite subject was when they were in school(Associated Press, August 17, 2005). In what might seem like acontradiction, math was chosen more often than any other subject inboth categories! Math was chosen by 222 of the 1000 as the favoritesubject, and it was also chosen by 362 of the 1000 as the leastfavorite subject.
(a) Construct a 95% confidence interval for the proportion ofU.S. adults for whom math was the favorite subject in school. (Givethe answers to four decimal places.)
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(b) Construct a 95% confidence interval for the proportion of U.S.adults for whom math was the least favorite subject. (Give theanswers to four decimal places.)
(  ,  )
You may need to use the appropriate table in Appendix A to answerthis question.
