A pollster wishes to estimate the true proportion of U.S.voters who oppose capit

Question

A pollster wishes to estimate the true proportion of U.S.voters who oppose capital punishment. How many voters should besurveyed in order to be 95% confident that the true proportion iscorrectly estimated to within 3%? A) 436 B) 1068 C) 601 D) 811 E) Not enough information given. A pollster wishes to estimate the true proportion of U.S.voters who oppose capital punishment. How many voters should besurveyed in order to be 95% confident that the true proportion iscorrectly estimated to within 3%? A) 436 B) 1068 C) 601 D) 811 E) Not enough information given.

Explanation / Answer

Given =0.05, Z(0.025)=1.96 (check normal table) E=0.03 n=(Z/E)^2*p*(1-p) = (1.96/0.03)^2*0.5*(1-0.5) = 1067.111 Take n=1068. Answer: B

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