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Tests for the Difference of Two Proportions

AP Statistics· difficulty 3/5

Sample 1: 50 successes in 100. Sample 2: 30 successes in 100.

p̂_p = 80/200 = 0.40 SE_pooled = sqrt(0.4·0.6·(1/100+1/100)) = sqrt(0.0048) ≈ 0.0693

What is the test statistic z?

  • A

    5.77

  • B

    1.96

  • C

    0.20

  • D

    2.89

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Explanation

z = (0.50 − 0.30)/0.0693 ≈ 2.89.

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