This problem shows an example of a hypothesis test. This one is a right tailed test, which you can tell from the form of the alternative hypothesis.
Note that if you are not using a level of significance to decide whether to reject or not, then you wind up with a p-value and make some conclusion about how much evidence there is against the null hypothesis based on the size of the p-value. The smaller the p-value the less likely you are to believe in the null hypothesis.
Problem adapted from Larson/Farber’s Elementary Statistics
