Which of the Following Statements Are Not Generally True?
A) $\alpha$

Which of the following statements are not generally true?

A) A type I error is usually more serious than a type II error.
B) A type II error is usually more serious than a type I error.
C) A test with significance level $\alpha$
Is one for which the type I error probability is controlled at the specified level.
D) When an experiment and a sample size are fixed, then decreasing the size of the rejection region to obtain a smaller value of $\alpha$
(probability of type I error) results in a larger value of $\beta$
(probability of type II error) for any particular parameter value consistent with the alternative hypothesis $H _ { \pm }$
)
E) None of the above statements are true.