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3. (6 points) Let X be a binomial random variable with n = perform a likelihood ratio test of the following hypotheses:
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3. (6 points) Let X be a binomial random variable with n = perform a likelihood ratio test of the following hypotheses: = 5 and parameter p. We wish to • Ho: p=0.8 • H₁: p = 0.2 We observe one realization of X. (a) Suppose we observe X = 1. What is the p-value? (b) Suppse we choose a test that rejects for X = 0 and X = 1 only. What is the power of this test?