Concluding a Test for a Population Proportion

AP Statistics· difficulty 2/5

A test of H₀: p = 0.4 vs Hₐ: p ≠ 0.4 yields p-value = 0.08 with α = 0.05.

p-value = 0.08, α = 0.05

Which conclusion is appropriate?

  • A

    Accept H₀; p equals 0.4.

  • B

    Fail to reject H₀; insufficient evidence that p ≠ 0.4.

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  • C

    Cannot determine without more data.

  • D

    Reject H₀; convincing evidence that p ≠ 0.4.

Explanation

Since 0.08 > 0.05, fail to reject H₀. There is not convincing evidence that p ≠ 0.4.

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