As this book wasbeing written, former New York City mayor Rudolph Giulianiannoun
ID: 2919285 • Letter: A
Question
As this book wasbeing written, former New York City mayor Rudolph Giulianiannounced that he was a candidate for the presidency of the UnitedStates. If you are a campaign worker and need to determine thepercentage of people that recognize his name, how many people mustyou survey to estimate that percentage? Assume that you want to be95% confident that the sample percentage is in error by no morethan two percentage points, and also assume that a recent surveyindicates that Giuliani's name is recognized by 10% of all adults(based on data from a Gallup poll).Explanation / Answer
Given p=0.1, E=0.02, =0.05, Z(0.025)=1.96 n=(Z/E)^2*p*(1-p) = (1.96/0.02)^2*0.1*(1-0.1) = 864.36 Take n=865
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