2. Assume that X is a discrete random variable. (a) Based on an observed value of X, derive the most powerful test of Ho
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2. Assume that X is a discrete random variable. (a) Based on an observed value of X, derive the most powerful test of Ho
2. Assume that X is a discrete random variable. (a) Based on an observed value of X, derive the most powerful test of Ho : X~ Geometric(p = 0.05) against He: X~ Poisson(1 = 0.95) with a= -0.0975. Note: Please use the definition of the Geometric distribution you can find on the Handout on Canvas. (b) Find the power of the test from (a) under the alternative. (C) Suppose we observe I = 3. Find the p-value of this test.
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