Question: Suppose that n = 7 paired observations, (Xi, Yi), are recorded, i = 1, 2, . . . , 7. Let p = P(Yi >

Suppose that n = 7 paired observations, (Xi, Yi), are recorded, i = 1, 2, . . . , 7. Let p = P(Yi > Xi). Write out the entire probability distribution for Y+, the number of positive differences among the set of Yi − Xi’s, i = 1, 2, . . . , 7, assuming that p = 1/2. What α levels are possible for testing H0: p = 1/2 versus H1: p > 1/2 ?

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