Suppose a poll of n = 1,013 randomly selected American adults in November 2011 found that 59% of those surveyed felt that their weight was about right. The margin of error for the survey was given as 3%.
(a)
Use the reported results of the survey to find a 95% confidence interval estimate of the percentage of American adults at that time who thought their weight was about right. (Enter your answer in the form: lower limit to upper limit. Include the word "to.")
%
(b)
On the basis of the interval computed in part (a), explain whether it is reasonable to say that more than 50% of American adults at that time thought their weight was about right.
Since the interval
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50%, we
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reasonably say that more than 50% of American adults at that time thought their weight was about right.