FobelloE

2020-12-24

For the same data, null hypothesis, and level of significance, if the conclusion is to reject ${H}_{0}$ based on a two-tailed test, do you also reject Ho based on a one-tailed test? Explain.

Sadie Eaton

Skilled2020-12-25Added 104 answers

For the same data, null hypothesis and level of significance $\alpha $ , if the conclusion is to reject ${H}_{0}$ based on a two-tailed test then we can also reject ${H}_{0}$ based on a one-tailed test. Because the corresponding P-value for a one tailed test is half that P-value for a two-tailed test, so if the P-value for a two-tailed test is smaller than a, then the P-value for a one-tailed test will also smaller than $\alpha $ .

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