Concluding a Test for a Population Proportion

AP Statistics· difficulty 2/5

Test H₀: p = 0.25 vs Hₐ: p ≠ 0.25, with n=400, p̂ = 0.30.

SE₀ = sqrt(0.25·0.75/400) = 0.02165 z = (0.30 − 0.25)/0.02165

The test statistic is approximately:

  • A

    2.31

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  • B

    1.96

  • C

    1.15

  • D

    0.05

Explanation

z ≈ 0.05/0.02165 ≈ 2.31.

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