The hypothesis test is one-tailed when the alternative hypothesis (H1) specifies that the parameter is greater than the value stated in the null hypothesis (H0). This means the test is focused on detecting increases in the parameter, allowing us to evaluate evidence in one direction only. If H1 states that the parameter is less than the value claimed in H0, it would be a left-tailed test. In summary, a one-tailed test concentrates on deviations in one specified direction.
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