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A doctoral student is planning a study of possible association between school average mathematics performance on the CRCT and the percentage of students in the given school who qualify for free or reduced lunch. Three previous studies report correlations between school SES and student performance of $17, .20$, and $.29$ respectively. With this information, what sample size should the student seek to have an $80 \%$ chance of rejecting a false null?
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Since the mean correlation is $.22([.17+.20+.29] / 3=.22)$ and power is $.80$, the sample size needed to detect this correlation is 160 (or 157 for the exact sample size) with alpha $=.05$ or 237 (or 233 with the exact sample size) with alpha $=.01$.
by Diamond (89,304 points)

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