A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework andprocess, a sample of 338 patients showed the mean wait time was 23.22 minutes, with a standard deviation of 16.79 minutes. Complete parts(a) and(b) below.

a. If you test the null hypothesis at the 0.01 level ofsignificance, is there evidence that the population mean wait time is less than 25 minutes?

b. Interpret the meaning of thep-value in this problem.