A manager at a clothing store wants to determine the optimal sizing distribution for inventory orders. In particular, he wants to see if summer sizing follows the same distribution as the previous fall sizing. He takes a random sample of 897 customers who enter the store and finds the following. Use 3 decimal places in the following problems. Size L XL TOTAL Previous /o 24% 18% 9% 100% Observed count 236 150 121 897 a) What are the hypotheses he would use to test if summer and fall had the same distribution? H0: v Ha: v b) Find the expected count for Small (S): c) Given a test statistic of 28.729, find the p-value for his test: |:|