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AP Statistics/Unit 5: Sampling Distributions
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Sampling Distribution of a Sample Proportion
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A study examines 200 randomly selected college students to determine the proportion who have participated in community service. If the true proportion is p = 0.15, which of the following best describes the sampling distribution of the sample proportion?

A

Approximately normal with μp̂ = 0.15 and σp̂ = 0.025

B

Not approximately normal because np < 30

C

Approximately normal with μp̂ = 0.15 and σp̂ = 0.15

D

Skewed right because p is small

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