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A company wants to take survey to estimate the percent of voters who favor a candidate....

A company wants to take survey to estimate the percent of voters who favor a candidate. They want a 95% confidence level and a margin of error of 2%. A previous survey showed 37% of voters favored the candidate. What is the minimum number of voters needed for this new survey?

Math   Statistics-And-Probability   
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Answer #1

Solution,

Given that,

= 0.37

1 - = 1 - 0.37 = 0.63

margin of error = E = 0.02

At 95% confidence level

= 1 - 95%

= 1 - 0.95 =0.05

/2 = 0.025

Z/2 = Z0.025  = 1.96

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.96 / 0.02 )2 * 0.37 * 0.63

= 2238.69

sample size = n = 2239

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