In a survey of 1000 randomly selected adults in the United
States, participants were asked what their most favorite and what
their least favorite subject was when they were in school
(Associated Press, August 17, 2005). In what might seem like a
contradiction, math was chosen more often than any other subject in
both categories! Math was chosen by 228 of the
1000 as the favorite subject, and it was also chosen by
378 of the 1000 as the least favorite subject.
(a) Construct a 95% confidence interval for the proportion of
U.S. adults for whom math was the favorite subject in school. (Give
the answers to four decimal places.)
( 0.2097 Incorrect: Your answer is incorrect. , 0.2623
Incorrect: Your answer is incorrect. )
(b) Construct a 95% confidence interval for the proportion of
U.S. adults for whom math was the least favorite subject. (Give the
answers to four decimal places.)
( 0.3401 Incorrect: Your answer is incorrect. , 0.3999
Incorrect: Your answer is incorrect. )