Hello, I wanted to know if what I have is correct?

Suppose that a study of university students throughout the United States finds that the average student studies for an average of 14 hours per week. The Provost at Towson believes that Towson students study more than this national average and would like to test this claim. A random sample of 36 students was selected, and the average number of study hours for Towson students was found to be 15.39 hours per week. Assume that the population standard deviation for the number of study hours of Towson students is 5.67 hours per week. Using o = 0.05, complete parts a through b. a) Does the Provost have enough evidence to support her claim that Towson students study more than the national average? Determine the null and alternative hypotheses. HO: H S 14 H1 : H > 14 The test statistic is 1.47 (Round to two decimal places as needed.) The critical score(s) is(are) 1.65 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic is less than the critical value, do not reject the null hypothesis. b) Determine the p-value for this test. The p-value is 0.0706 (Round to four decimal places as needed.)