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.

The z-statistic lies in the critical region

Step-by-step 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 HypothesisIf 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

39 and 14

Step-by-step explanation:

A + B = 53

A - B = 25

(Add the two equations together)

2A = 78

A = 78/2 = 39

B = 53 - 39 = 14