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AP Statistics/Unit 5: Sampling Distributions
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Sampling Distribution of a Sample Proportion
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Suppose the true proportion of college students who have participated in community service is p = 0.15. For a random sample of 200 students taken from this population, which of the following best describes the sampling distribution of the sample proportion?

A

Not approximately normal because np < 30

B

Skewed right because p is small

C

Approximately normal with μp̂ = 0.15 and σp̂ = 0.15

D

Approximately normal with μp̂ = 0.15 and σp̂ = 0.025

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