Which of the following statements is (are) true regarding 1-tailed and 2-tailed

Question

Which of the following statements is (are) true regarding 1-tailed and 2-tailed hypothesis tests? Check all that apply. For this problem, you have five tries. Rejecting a 1 tailed test implies that you would fail to reject the corresponding 2 tailed test at the same a level Failing to reject a 1-tailed test implies that you would fail to reject the corresponding 2-tailed test at the same alpha level Failing to reject a 2-tailed test implies that you would also fail to reject the corresponding 1-tailed test at the same significance level Rejecting a 1-tailed test implies that you would also reject the corresponding 2-tailed test at the same significance level Failing to reject a 2-tailed test means that you will reject the corresponding single tailed test at the same a level Q Rejecting a 2-tailed test implies that you would also reject the corresponding 1-tailed test at the same significance level

Explanation / Answer

OPTION 1. FALSE. This is not always the case. Say, if alpha = 0.05, and Pvalue = 0.02 for one tailed. You reject the null for 1-tailed, but still reject it for two tailed, as the two tailed P value is 0.02*2 = 0.04 < 0.05, still.

OPTION 2. TRUE.

OPTION 3. False, using the same reasoning in option 1.

OPTION 4. False, using the same reasoning in option 1.

OPTION 5. False, using the same reasoning in option 1.

OPTION 6: TRUE.

Thus, only options 2 and 6 are TRUE. [ANSWER, 2 AND 6]

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