Question: 39. Let Po, PI' P2 be the probability distributions assigning to the integers 1, . . . ,6 the following probabilities: 1 2 3 4

39. Let Po, PI' P2 be the probability distributions assigning to the integers 1, . . . ,6 the following probabilities: 1 2 3 4 5 6 Po .03 .02 .02 .01 0 .92 PI .06 .05 .08 .02 .01 .78 P2 .09 .05 .12 0 .02 .72 Determine whether there exists a level-a test of H : P = Po which is UMP against the alternatives PI and P2 when (i) a = .01; (ii) a = .05; (iii) a = .07

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