The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis

If the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.

Step-by-step explanation:

The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours.

At the null hypothesis, we test if the mean is of at most 4.9 hours, that is:

At the alternative hypothesis, we test if the mean is more than 4.9 hours, that is:

Accepting the null hypothesis:

If the null hypothesis is accepted, the interpretation is that there is not significant evidence to conclude that the mean time the students study at her university is of more than 4.9 hours.

Rejecting the null hypothesis:

As is the case in this question, if the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.

because they could drop even lower..