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AP Statistics/Unit 5: Sampling Distributions
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Finite Population Correction Factor

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Researchers are comparing the proportion of adults who exercise regularly in two towns. Town X has a population of 5,000 adults, and Town Y has a population of 3,000 adults. A random sample of 600 adults is selected without replacement from Town X, and a random sample of 400 adults is selected without replacement from Town Y. How should the standard deviation of the difference in sample proportions be calculated?

A

Use bootstrapping to estimate the standard deviation

B

Use the standard formula; the difference is negligible

C

Apply finite population correction factors to both samples

D

Increase the standard deviation by 10%

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