Potential Errors When Performing Tests

AP Statistics· difficulty 2/5

A test of H₀: p = 0.5 vs Hₐ: p > 0.5.

H₀ true H₀ false Type I correct correct Type II Reject Fail

A Type I error occurs when:

  • A

    We fail to reject H₀ when H₀ is false.

  • B

    We reject H₀ when Hₐ is true.

  • C

    We fail to reject H₀ when H₀ is true.

  • D

    We reject H₀ when H₀ is true.

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Explanation

Type I error = rejecting a true null hypothesis (false positive). Probability = α.

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