# 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.

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.

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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 $$\alpha$$.