. Suppose that (X1, Y1), . . . , (Xn, Yn) are i.i.d. pairs

Chapter 10, Problem 1

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. Suppose that (X1, Y1), . . . , (Xn, Yn) are i.i.d. pairs of random variables with a continuous joint distribution. Let p = Pr(Xi Yi), and suppose that we want to test the hypotheses H0: p 1/2, H1: p > 1/2. (10.8.7) Describe a version of the sign test to use for testing these hypotheses.

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