Setting Up a Test for a Population Proportion

AP Statistics· difficulty 2/5

A teacher wants to test whether more than 60% of students prefer online learning.

H₀: p = 0.60 Hₐ: p > 0.60

Which is the correct setup?

  • A

    H₀: p̂ = 0.60, Hₐ: p̂ > 0.60

  • B

    H₀: p ≠ 0.60, Hₐ: p = 0.60

  • C

    H₀: p > 0.60, Hₐ: p = 0.60

  • D

    H₀: p = 0.60, Hₐ: p > 0.60

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Explanation

H₀ is equality; Hₐ matches the research claim ("more than 60%"); use the parameter p.

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