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Statistics and Probability

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Sampling Distribution of Sample Proportion

STATS-RXL9JA

Which of the following statements is TRUE about the sampling distribution of the sample proportion?

Select ALL that apply.

A

It always ranges from 0 to 1.

B

It is symmetric if the sample proportion is equal to 0.5.

C

It can be approximated by a normal distribution if n$\pi$ and n(1-$\pi$) are at least 5.

D

It has a mean equal to $\pi$, the population proportion.