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Question
Suppose X is a random variable with P(X = k) = (1 - p)kp for k ∈ {0,1,2,..} and some p ∈ (0,1). For the hypothesis testing problem H0:p = 1/2 H1:p ≠ 1/2 consider the test "Reject H0 if X ≤ A or if X ≥ B", where A < B are given positive integers. The type-I error of this test is
Options:
A .  1 + 2-B - 2-A
B .  1 - 2-B + 2-A
C .  1 + 2-B - 2-A-1
D .  1 - 2-B + 2-A-1
Answer: Option C


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