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Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 3/5

A study of 800 customers found 200 made an online purchase last month.

p̂ = 0.25 95% CI

What is the 95% CI for the population proportion?

  • A

    (0.215, 0.285)

  • B

    (0.230, 0.270)

  • C

    (0.220, 0.280)

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  • D

    (0.235, 0.265)

Explanation

p̂ = 0.25. SE = sqrt(0.25·0.75/800) ≈ 0.0153. ME = 1.96·0.0153 ≈ 0.030. CI: (0.220, 0.280).

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