A Type III error is only possible for hypothesis tests where the rejection region is located in one tail.

Name: A Type III error is only possible for hypothesis tests where the rejection region is located in one tail.
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Quizplus · Accepted Answer

A Type III error is only possible for hypothesis tests where the rejection region is located in one tail because in a two-tailed test, the rejection region is split into two parts, one in each tail. This means that there is no way to make a Type III error in a two-tailed test.

A Type III Error Is Only Possible for Hypothesis Tests