Question

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

the null hypothesis?
The Z-statistic is less than 0.
The z-statistic lies in the critical region.
The Z-statistic lies outside the critical region.
The z-statistic is greater than 0.

Answer 1

Answer: b) The z-statistic lies in the critical region.

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Answer 2

The z-statistic lies in the critical region

Explanation:

When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:

• If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
• If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.

In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:

The z-statistic lies in the critical region