Question: Assume that we want to test a null hypothesis about a single mean at a 5 .05, one-tailed. Further assume that all necessary assumptions are

Assume that we want to test a null hypothesis about a single mean at a 5 .05, one-tailed.

Further assume that all necessary assumptions are met. Could there be a case in which we would be more likely to reject a true H0 than to reject a false one? (In other words, can power ever be less than a?)

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