Question

If the critical z value is -4.5 and the obtained z score is -4.9, what decision can we make about rejecting the null hypothesis?

1) Reject the null hypothesis
2) Fail to reject the null hypothesis
3) Cannot be determined based on the given information

Answer 1

Given the critical z-value of -4.5 and an obtained z-score of -4.9, the decision is to reject the null hypothesis because the obtained z-score is more extreme than the critical value.

Step-by-step explanation:

The question pertains to the decision to reject or fail to reject the null hypothesis given a critical z-value and an obtained z-score. Since the critical z-value is -4.5 and the obtained z-score is -4.9, which is further into the tail of the distribution (more extreme) than the critical value, the decision would be to reject the null hypothesis. This conclusion is based on the principle that if the test statistic (in this case, the obtained z-score) is more extreme than the critical value, it falls into the rejection region of the hypothesis test, indicating that it is statistically significant and the null hypothesis should be rejected.