I have produced two P-value histograms for μ=-0.5, one for a two-sided test and another with a one-sided test. I notice that for the first case (two-sided test) I get a right skewed histogram and for the second case (one-sided test) I get a left skewed histogram. The reason I suspect has something to do with how the negative value of μ is treated differently in the two different tests, but I can not find the answer. Can someone explain this?
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