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If sample data is such that for a one-tailed test of you can reject H 0 at the 1

ID: 3180898 • Letter: I

Question

If sample data is such that for a one-tailed test of you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance?

Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance.
No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance.   
Yes. The P-value for the two-tailed test could be greater than 0.01.
No. The P-value for the two-tailed test could be greater than 0.01.

Explanation / Answer

The answer is No. The P-value for the two-tailed test could be greater than 0.01.

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