College tuition: The mean annual tuition and fees for a sample of 22 te colleges in Califormia was $38,750 with a standard deviation of $7206 A rolex shows that it is reasonable to assume that the population is approximately normal Can you conclude that the mean tution and fees for private instutions in Califomis differs from $35,000? Use the a=0.01 level of significance and the P-value metho with the TI-84 Plus calculator Part 1 of 5 (a) State the appropriate null and alterate hypotheses H = 35,000 H: 35.000 This hypothesis test is a two-tailed test Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. 1= 2.44 Part: 2/5 Part 3 of 5 (c) Compute the P-value. Round the P-value to at least four decimal places.