Setting Up a Test for a Population Proportion

AP Statistics· difficulty 2/5

Manufacturer claims defect rate is at most 2%.

H₀: p = 0.02 Hₐ: p > 0.02

To test the manufacturer's claim, set:

  • A

    H₀: p > 0.02, Hₐ: p ≤ 0.02

  • B

    H₀: p = 0.02, Hₐ: p < 0.02

  • C

    H₀: p̂ = 0.02, Hₐ: p̂ > 0.02

  • D

    H₀: p = 0.02, Hₐ: p > 0.02

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Explanation

To test if defect rate exceeds 2% (manufacturer's max claim violated), Hₐ: p > 0.02.

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