Question

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?

Answer 1

Claim is that the mean number of hours students study at her university per day is at most 4.9 hours

(when we have case of at most or at least, then we consider the given claim as null hypothesis)

So, null hypothesis would be that mean is equal to 4.9 or more and alternate hypothesis would be that mean is less than 4.9(rejection of claim)

Rejecting the null hypothesis means that the

“mean number of hours students study at her university per day is less 4.9 hours”

or

“there is insufficient evidence to support the claim that mean number of hours students study at her university per day is at most 4.9 hours”