Constructing a Confidence Interval for a Population Proportion

AP Statistics· difficulty 2/5

Sample of n = 1000, p̂ = 0.10.

p̂ = 0.10

What is the 95% CI for p?

  • A

    (0.0500, 0.1500)

  • B

    (0.0700, 0.1300)

  • C

    (0.0900, 0.1100)

  • D

    (0.0814, 0.1186)

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Explanation

SE = sqrt(0.1·0.9/1000) ≈ 0.00949. ME = 1.96·0.00949 ≈ 0.0186. CI ≈ (0.0814, 0.1186).

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