Which of the Following Statements Are Not True If a Test

Multiple Choice

Which of the following statements are not true if a test procedure about the difference between two population means $\mu _ { 1 } - \mu _ { 2 }$ is performed when both population distributions are normal and that the values of both population variances $\sigma _ { 1 } \text { and } \sigma _ { 2 }$ are known?

A) The rejection region for level $\alpha \text { test is } z \geq z _ { \alpha }$
If the test is an upper-tailed test.
B) The rejection region for level $\alpha \text { test is } z \leq z _ { \alpha }$
If the test is a lower-tailed test.
C) The rejection region for level $\alpha \text { test is either } z \geq z _ { \alpha / 2 } \text { or } z \leq - z _ { \alpha / 2 }$
If the test is a two-tailed test.
D) All of the above statements are true.
E) None of the above statements are true.