which of the following statements are true regarding one sided and two sided hyp

Question

which of the following statements are true regarding one sided and two sided hypothesis tests? There are two correct answers; you must select both correctly. For this problem, you have five tries.

Note: you should assume that a one sided test is not being performed on the 'wrong' side. For example, if the test statistic is positive, then assume the test is right sided and not left sided.

Hint: you should consider what happens to the p-value when going from a one sided to a two sided test, or from a two sided to a one sided test.

Failing to reject H0 for a two sided test means that you will reject H0 for the corresponding one sided test at the same significance level

Failing to reject H0 for a one sided test implies that you would fail to reject H0 for the corresponding two sided test at the same significance level

Failing to reject H0 for a two sided test implies that you would also fail to reject H0 for the corresponding one sided test at the same significance level

Rejecting H0 for a two sided test implies that you would also reject H0 for the corresponding one sided test at the same significance level

Rejecting H0 for a one sided test implies that you would fail to reject H0 for the corresponding two sided test at the same significance level

Rejecting H0 for a one sided test implies that you would also reject H0 for the corresponding two sided test at the same significance level

Explanation / Answer

Corresponding two correct statement are:

Failing to reject H0 for a one sided test implies that you would fail to reject H0 for the corresponding two sided test at the same significance level.

Rejecting H0 for a two sided test implies that you would also reject H0 for the corresponding one sided test at the same significance level

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