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.

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

Explanation / Answer

Option 2nd and and option 6th are right

In two sided test, p value is double of one sided and thus if we see by assuming aplha = 0.05 and any p vaues satisfying our consditions we will have it right

if p value< alpha, H0 is rejected

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