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Problem H5 Let X be a single observation (n-1) from the following distribution: f(rle)-o elsewhere NOTE:XBeta(0, 1) The following two hypotheses are being tested: 110 : e-2 vs Ha : ?-1. (a) Draw a graph of f(z | ?) when (i) Ho is true and when (ii) H. is true. Put both graphs on the same plot. Explain why a rejection region of the form (X<k) makes intuitive sense (b) Find k, so that the test has level a 0.05. c) For the rejection region in (b), find B, the probability of a type II error. Please interpret this value in the context of the problem.
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9-1 0 On 2 010 2 e 20:05 2 长3 0, 223 20,22 30213

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