18
RCMultiple Choice

Step Functions — Cumulative exam

Question 18 • VA-Mathematical Analysis

Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion?

Answer
A
The z-statistic is less than 0.
B
The z-statistic lies in the critical region.
C
The z-statistic is greater than 0.
D
The z-statistic lies outside the critical region.

Explanation

A hypothesis test rejects the null hypothesis when the test statistic falls in the critical region. If Weston could not reject the null hypothesis, his z-statistic must lie outside that region. Whether the z-statistic is positive or negative by itself does not determine the conclusion.

AI-written and checked against the verified answer.

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