In a two-tailed hypothesis about a population mean with a sample size of 100, $\sigma$ is known,and alpha = 0.10,the rejection region would be _______. A)z 1.64 B)z 1.28 C)z 1.28 D)z 1.64 E)z 2.33

Question

In a two-tailed hypothesis about a population mean with a sample size of 100, $\sigma$ is known,and alpha = 0.10,the rejection region would be _______. A)z > 1.64 B)z > 1.28 C)z < -1.28 and z > 1.28 D)z < -1.64 and z > 1.64 E)z < -2.33 and z > 2.33

Quizplus · Accepted Answer

Since it is a two-tailed test, we divide the alpha (0.10) by 2 to get 0.05 for each tail. To find the corresponding z-score for this critical value, we use a standard normal table or calculator and look up the z-score that corresponds to an area of 0.05 in each tail. This gives us a z-score of 1.64 for the positive tail and -1.64 for the negative tail. Therefore, the rejection region would be z < -1.64 and z > 1.64.

In a Two-Tailed Hypothesis About a Population Mean with a Sample