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Sampling Distributions for Sample Proportions

AP Statistics· difficulty 3/5

p = 0.6, n = 150.

Approximately, what is P(0.55 < p̂ < 0.65)?

  • A

    ≈ 0.9544

  • B

    ≈ 0.5000

  • C

    ≈ 0.1056

  • D

    ≈ 0.7888

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Explanation

σ_p̂ = √(0.6·0.4/150) ≈ 0.04. z = ±1.25. P(−1.25 < Z < 1.25) ≈ 0.7888.

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