In a Pew Research Center poll of 745 randomly selected adults, 589 said that it
ID: 2960279 • Letter: I
Question
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it was morally wrong to not report all income on tax returns. Assume that you must conduct a new poll to determine the percentage of adults who believe that it is morally wrong to not report all income on tax returns. How many randomly selected adults must you survey if you want 99% confidence that the margin of error is two percentage points? Assume that nothing is known about the percentage that you are trying to estimnate.
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Explanation / Answer
Given n=745, p=589/745= 0.79, E=0.02 a=0.01, |Z(0.005)| =2.58 (check standard normal table) So n=(Z/E)^2*p*(1-p) =(2.58/0.02)^2*0.79*(1-0.79) = 2760.742 Take n= 2761
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