Let X have the binomial distribution b(p, n), and consider the hypothesis H : p = p0

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Let X have the binomial distribution b(p, n), and consider the hypothesis H : p = p0 at level of significanceα. Determine the boundary values of the UMP unbiased test for n = 10 with α = 0.1, p0 = 0.2 and with α = 0.05, p0 = 0.4, and in each case graph the power functions of both the unbiased and the equal-tails test.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

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