Question: Suppose that you observe a random sample of size n from a normally distributed population. If you are able to reject H0: = 0

Suppose that you observe a random sample of size n from a normally distributed population. If you are able to reject H0: µ = µ0 in favor of a two-tailed alternative hypothesis at the 10% significance level, is it true that you can definitely reject H0 in favor of the appropriate one-tailed alternative at the 5% significance level? Why or why not?

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