A multinomial experiment with k = 4 cells and n = 201 produced the data shown in the one-way table to the right. Complete parts a through c. 1 45 CELL 2 3 61 54 4 41 n a. Do these data provide sufficient evidence to conclude that the multinomial probabilities differ? Test using a =0.05. Choose the null and alternative hypothesis below. A. Ho: At least one of the proportions differs from its hypothesized value HP - P2 = P3 P4 -0.25 , Ho: PA #P2*ps #p4 0.25 H, P = P2 P3 P4 +0.25 OC. Mo: "P2 P3A 0.25 HP, P2# D2 D4*0.25 O D. Ho: P = P2P3 P4 -0.25 Ho: At least one of the proportions differs from its hypothesized value Calculate the test statistic 2-(Round to four decimal places as needed.) Calculate tho pvalue D-value- (Round to four decimal places as needed.) A multinomial experiment with k = 4 cells and n=201 produced the data shown in the one-way table to the right. Complete parts a through c, 1 45 CELL 2 3 61 54 4 41 n Choose the correct conclusion below. O A. Do not reject Hy, there is sufficient evidence that the multinomial probabilities differ, OB. Reject Ho, there is sufficient evidence that the multinomial probabilities differ. OC. Do not reject Ho, there is insufficient evidence that the multinomial probabilities differ. D. Roject Ho, there is insufficient evidence that the multinomial probabilities differ. b. What are the type and type Il errors associated with the test of part a? Choose the correct type 1 error associated with the test of part a below. A. The type I error is concluding that the multinomial probabilities are equal, when, in fact, they are B. The type i error is concluding the multinomial probabilities are equal, when, in fact, they are not C. The type I error is concluding the multinomial probabilities differ, when, in fact, they do not D. The type 1 error is concluding that the multinomial probabilities differ, when, In fact, they do. OOOO Choose the correct type Il error associated with the test of part a below. O A. The type II error is concluding that the multinomial probabilities are equal, when, in fact, they are. B. The type Il error is concluding the multinomial probabilities differ, when, in fact, they do not