For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject Hg while a two tilled test results in the conclusion to fail to reject Ho? Explain.

Ramsey 2020-12-30 Answered
For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject Hg while a two tilled test results in the conclusion to fail to reject Ho? Explain.

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Obiajulu
Answered 2020-12-31 Author has 23478 answers
For the same data, null hypothesis and level of significance \(\alpha\), the P-value of a one-tailed test is smaller than that of a two-tailed test and the P-value for two-tailed is twice the one-tailed. So the P-value for a one-tailed test might be smaller than \(\alpha\), while the P-value for a two-tailed test could be larger than a. Therefore, It is possible that a one-tailed test results in the conclusion to reject \(H_{0}\) while a two-tailed test results in the conclusion to fail to reject \(H_{0}\).
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