Suppose we conduct a poll to estimate the proportion of vote

Suppose we conduct a poll to estimate the proportion of voters who favor a major presidential candidate. Assuming that 50 percent of the electorate could be in favor of the candidate, determine the sample size needed so that we are 95 percent confident that $\"formula117.mml\"$ , the sample proportion of voters who favor the candidate, is within a margin of error of .01 of p, the population proportion of all voters who are in favor of the candidate.

Note that

n = z(alpha/2)^2 p (1 - p) / E^2

where

alpha/2 =    0.025

Using a table/technology,

z(alpha/2) =    1.959963985

Also,

E =    0.01
p =    0.5

Thus,

n =    9603.647052

Rounding up,

n =    9604   [ANSWER]

Suppose we conduct a poll to estimate the proportion of vote

Solution

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