Sampling Distributions for Sample Proportions

AP Statistics· difficulty 1/5

A population has true proportion p = 0.40. Random samples of size n = 100 are taken.

μ_p̂ = p = 0.40

What is the mean of the sampling distribution of p̂?

  • A

    0.04

  • B

    0.60

  • C

    40

  • D

    0.40

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Explanation

The mean of the sampling distribution of p̂ equals the population proportion p. So μ_p̂ = 0.40.

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