A television sports commentator wants to estimate the proportionof citizens who? "follow professional? football." Complete parts?(a) through? (c). ?(a) What sample size should be obtained if hewants to be within 2 percentage points with 94?% confidence if heuses an estimate of 52?% obtained from a? poll? The sample size isnothing. ?(Round up to the nearest? integer.) ?(b) What sample sizeshould be obtained if he wants to be within 2 percentage pointswith 94?% confidence if he does not use any prior? estimates? Thesample size is nothing. ?(Round up to the nearest? integer.) ?(c)Why are the results from parts? (a) and? (b) so? close? A. Theresults are close because 0.52 left parenthesis 1 minus 0.52 rightparenthesis equals0.2496 is very close to 0.25. B. The results areclose because the confidence 94?% is close to? 100%. C. The resultsare close because the margin of error 2?% is less than? 5%.
