Question: For a random variable X with binomial distribution b(p, n), determine the constants Ci, (i = 1, 2) in the UMP test (3.31) for testing

For a random variable X with binomial distribution b(p, n), determine the constants Ci, γ(i = 1, 2) in the UMP test (3.31) for testing H : p ≤ .2 or ≤ .7 when α = .1 and n = 15. Find the power of the test against the alternative p = .4.

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