Sample Size Determination for Proportions

Question

Two researchers plan separate studies to estimate a population proportion. To calculate the required sample size, Researcher A uses an estimate of $$\hat{p} = 0.5$$, while Researcher B uses an estimate of $$\hat{p} = 0.2$$ from a pilot study. If both studies require a 95% confidence level and the same margin of error, which of the following statements is correct?

Accepted Answer

Researcher A's sample size will be 56% larger than B's

Answer

Researcher B's sample size will be 60% larger than A's

Answer

Both researchers will use the same sample size

Answer

Researcher A's margin of error will be smaller

Sample Size Determination for Proportions

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