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Tests for the Difference of Two Proportions

AP Statistics· difficulty 3/5

Sample 1: 110 of 200. Sample 2: 90 of 200. Test H₀: p₁ = p₂ vs Hₐ: p₁ ≠ p₂.

p̂_p = 200/400 = 0.50 SE = sqrt(0.5·0.5·(1/200+1/200)) = 0.05

What is z?

  • A

    1.00

  • B

    4.00

  • C

    2.00

    check_circle
  • D

    0.50

Explanation

z = (0.55 − 0.45)/0.05 = 2.00.

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