Ramsey

## Answered question

2020-12-30

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.

### Answer & Explanation

Obiajulu

Skilled2020-12-31Added 98 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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