5
QuizMultiple Choice

Hypothesis Testing

Question 5 • AZ-Common Core Algebra II B

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 less 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 greater than 0.

Explanation

A hypothesis test rejects the null hypothesis when its test statistic falls in the critical region, the range of values considered sufficiently unlikely if the null hypothesis were true. The z-statistic’s being positive or negative alone does not determine whether to reject; that depends on the test’s critical region. Therefore, the correct choice is “The z-statistic lies in the critical region.”

AI-written and checked against the verified answer.

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