Which of the following statements are true?
A) The probability of type I error, $\alpha$
Is computed using the probability distribution of the test statistic when the null hypothesis is true.
B) The probability of type II error, $\beta$
Requires knowing the distribution of the test statistic when the null hypothesis is false.
C) The probability of type I error, $\alpha$
Is computed by summing over probabilities of test statistic values in the rejection region.
D) The probability of type II error, $\beta$
Is computed by summing over probabilities of test statistic values in the complement of the rejection region.
E) All of the above statements are true.

Question

Quizplus · Accepted Answer

All statements are true. A) and C) describe how the probability of a Type I error ($\alpha$) is determined based on the distribution of the test statistic under the null hypothesis. B) and D) explain the computation of a Type II error ($\beta$), which involves knowing the distribution under the alternative hypothesis and considering the complement of the rejection region.

Which of the Following Statements Are True? A) the Probability α\alphaα

Which of the Following Statements Are True?
A) the Probability $\alpha$