Tests for the Difference of Two Proportions

AP Statistics· difficulty 3/5

Test H₀: p = 0.20 with sample n = 100, p̂ = 0.25.

SE₀ = sqrt(p₀(1−p₀)/n) = sqrt(0.20·0.80/100) z = (p̂ − p₀)/SE₀

What is the standard error used in the test?

  • A

    0.0433

  • B

    0.020

  • C

    0.050

  • D

    0.040

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Explanation

SE₀ uses p₀: sqrt(0.20·0.80/100) = sqrt(0.0016) = 0.040.

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