Question

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.

Significance tests
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asked 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.

Answers (1)

2020-12-25
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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