A television sports commentator wants to estimate the proportion of Americans who follow professional football. What sample

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A television sports commentator wants to estimate the proportion of Americans who follow professional football. What sample size should be obtained if he wants to be within 3 percentage points with 95% confidence if

(a) he uses an estimate of 52% obtained from a poll?

(b) he does not use any prior estimates?

(c) Why are the results from parts (a) and (b) so close?

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