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

question 38

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.

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