Which of the Following Statements Are True?
A) Knowledge of the Test

Multiple Choice

Which of the following statements are true?

A) Knowledge of the test statistic's distribution when the null hypothesis is true allows us to construct a rejection region for which the type I error probability is controlled at the desired level.
B) The rejection region for the t test differs from that for the z test only in that a t critical value replaces the z critical value.
C) If $X _ { 1 } , X _ { 2 } , \ldots \ldots , X _ { n }$
(n is small) is a random sample from a normal distribution, the standardized variable $T = ( \bar { X } - \mu ) / ( S / \sqrt { n } )$
Has a t distribution with n-1 degrees of freedom.
D) All of the above statements are true.
E) None of the above statements are true.