Potential Errors When Performing Tests

AP Statistics· difficulty 4/5

A two-sided z-test uses α=0.05\alpha = 0.05. The test statistic falls in the rejection region but the null hypothesis is actually true. This outcome is

  • A

    A Type II error — failing to reject a false null

  • B

    A Type I error — rejecting a true null

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  • C

    A power of test issue, not an error

  • D

    A correct decision

Explanation

Rejecting H₀ when H₀ is true = Type I error, occurring at rate α. Type II is failing to reject when H₀ is false.

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