Sampling Distributions for Sample Proportions

AP Statistics· difficulty 2/5

p=0.05, small n

For small n, when is the sampling distribution of p̂ most skewed?

  • A

    When p = 0.5.

  • B

    When n is large.

  • C

    When np ≥ 10.

  • D

    When p is close to 0 or 1.

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Explanation

With p near 0 or 1 and small n, p̂ becomes increasingly skewed.

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