# 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.

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
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 $$H_{0}$$.