7
QuizMultiple Choice

Hypothesis Testing — Quiz

Question 7 • Mathematics III

Zachary completes a hypothesis test and finds that he rejects the null hypothesis. Which statement gives a reason for rejecting the null hypothesis?

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

Explanation

In a hypothesis test, the critical region contains the test-statistic values that lead to rejecting the null hypothesis. Therefore, Zachary rejects the null when his z-statistic lies in the critical region. Whether the z-statistic is positive or negative alone does not determine the decision.

AI-written and checked against the verified answer.

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