APFIVE Sample Size Determination for Proportions
Two researchers are planning separate studies to estimate population proportions. Researcher A uses $$\hat{p} = 0.5$$ to determine sample size, while Researcher B uses a pilot study estimate of $$\hat{p} = 0.2$$. If both want 95% confidence and the same margin of error, which statement is correct?
A
Both researchers will use the same sample size
B
Researcher A’s margin of error will be smaller
C
Researcher A’s sample size will be 56% larger than B’s
D
Researcher B’s sample size will be 60% larger than A’s
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