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 849 customers who enter the store and finds the following. Use 3 decimal places in the following problems. Size xs 5 M L XL TOTAL Previous % 20% 29% 26% 17% 8% 100% Observed 146 231 202 149 121 849 count c) Given a test statistic of 47.5, find the p-value for his test: pXS = 0.2, pS = 0.29, pM = 0.26, pl = 0.17, pXL = 0.08 Summer and Fall are independent pXS = pS = pM = pl = pXL = 1/5 pXS = 146, pS = 231, pM = 202, pl = 149, pXL = 121 Given a test statistic of 47.5, find the p-value for his test'/ -__ Summer and Fall are dependent pXS=pS=pM=pL=pXL=1l5 At least one of the proportions is different from Fall. All of the proportions are different from Fall