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We are interested in conducting a study in order to determine what percentage of voters of...

We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of +/-0.08 at 95% confidence?

Math   Statistics-And-Probability   
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Answer #1

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.08

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.08

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

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

= (1.96 / 0.08)2 * 0.5 * 0.5

= 150.0625

Sample size = 150

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