If H ₀ is in reality false and it is legitimate to use a directional H ₁, which of the following will yield a more powerful test? A) one-tailed alternative hypothesis B) two-tailed alternative hypothesis C) one-tailed or two-tailed alternative hypothesis will yield the same power D) type of alternative hypothesis has no effect on power

Question

Quizplus · Accepted Answer

A one-tailed alternative hypothesis would yield a more powerful test in this scenario because it is more specific and focused on one direction, allowing for a smaller critical region and potentially making it easier to reject the null hypothesis. A two-tailed alternative hypothesis would have a larger critical region and require a larger sample size to achieve the same level of power.

If H 0 Is in Reality False and It Is

If H ₀ Is in Reality False and It Is