Question
which of the following statements are true regarding one sided and two sided hypothesis tests? There are tiwo correct answersi you must select both correctly For thes problem, you have five tries Notei you should assume that a one sided bost 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 happons 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 a Failing to reject Ho for a two sided test implies that you would alao fail to reject Ho for the corresponding one sided test at the same significance levwel a Failing to reject Ho for a two sided test means thet you will reject Ho for the corresponding one sided test at the same significance level ü Repe ting Ho for a teded test implies that you would also reject Ho for the co responding one sided test at the same significance level Rejecting Ho for a one sided test implies that you wauld slso reject Ho for the corresponding two sided test at the same significance levei Failing to reject Ho for a one sided test implies that you would fail to reject He for the corresponding two sided test at the same significance level a Rejecting Ho for a one sided test implies that you would fail to reject Ho for the corresponding two sided test at the same signficance level
Explanation / Answer
Rejecting a 2-tailed test implies that you would also reject the corresponding 1-tailed test.
becuaes ,it is contained within the rejection region for the 1-tailed test.
Failing to reject a 1-tailed test implies that you would fail to reject the corresponding 2-tailed test.
suppose for one tail p> alpha (failed to reject)
for two test p value increses inthis case also p> alpha (failed to reject)
3rd option and 5th options are correct.
