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Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

A sample of 600 patients shows 90 had a side effect. Construct a 99% CI for the population proportion.

p̂ = 0.15 99% CI

What is the 99% CI for p?

  • A

    (0.090, 0.210)

  • B

    (0.140, 0.160)

  • C

    (0.122, 0.178)

  • D

    (0.112, 0.188)

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Explanation

SE = sqrt(0.15·0.85/600) ≈ 0.01458. ME = 2.576·0.01458 ≈ 0.0376. CI: 0.15 ± 0.0376 = (0.112, 0.188).

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