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Rejecting the Null Hypothesis: One-Tailed and Two-Tailed Test

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

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Solution Summary

This response determines whether the null hypothesis can be rejected in favor of alternative hypothesis.

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