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Q24Section I (Objective (Q1–Q80))24 of 80

Statistical Inference — type II error of a Neyman-Pearson discrete test

Let XX be a random sample with probability mass function under H0H_0 and H1H_1 given by X:1,2,3,4,5,6X: 1,2,3,4,5,6 with f0(x):0.01,0.01,0.01,0.01,0.01,0.95f_0(x): 0.01,0.01,0.01,0.01,0.01,0.95 and f1(x):0.05,0.04,0.03,0.02,0.01,0.85f_1(x): 0.05,0.04,0.03,0.02,0.01,0.85. The Neyman-Pearson MP size 0.030.03 test rejects H0H_0 if x≤3x \le 3. What is P(type II error)P(\text{type II error}) equal to?

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