In a one-tail test for the population mean,if the null hypothesis is not rejected when the alternative hypothesis is true then:

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If the null hypothesis is not rejected when the alternative hypothesis is true, it means that the test has failed to detect a true effect or difference. This is a Type II error, as it leads to a false negative result. Type I error occurs when the null hypothesis is rejected when it is actually true. The choice of a one-tail or two-tail test depends on the research question and hypothesis.

In a One-Tail Test for the Population Mean,if the Null