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What is the margin of error for 95% confidence for a sample of size 500 where p = 0.5?

What is the margin of error for 95% confidence for a sample of size 500 where p = 0.5?-example-1

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The Margin of Error is calculated according to the formula:


MOE=z*(√(p*(1-p)))/(√(n))

z = 1.96 for a confidence level (α) of 95% (you have to choose in a normal table), p = proportion (expressed as a decimal), n = sample size.

Replace:


MOE=1.96*(√(0.5*0.5))/(√(500))=0.0438

So the answer is D. 0.0438

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