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An opinion poll is conducted to determine what proportion of the population favors adding more national...

An opinion poll is conducted to determine what proportion of the population favors adding more national parks. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?

Math   Statistics-And-Probability   
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Answer #1

Given that, margin of error ( E ) = 4% = 0.04

A 95% confidence level has significance level = 0.05 and critical value is,

Since, we don't have estimate of the population proportion we assume, p = 0.5

We want to find, the sample size ( n ),

Therefore, required sample size is 600

Note: If you want sample size is nearest to next whole nunber then, n = 601

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