Let X 1 be a binomial random variable with n 2 and pX 1 P(success) Let X 2 be an independent binomial random variable with n 4 and p X2 P(success) Let X X 1 X 2 Calculate if H 0 p X1 p X2 1 2 versus H 1 p X1 p X2 is to be tested by rejecting the null hypothesis when k 5

Question: Let X 1 be a binomial random variable with n = 2 and pX 1 = P(success). Let X 2 be an independent binomial random

Let X₁ be a binomial random variable with n = 2 and pX₁ = P(success). Let X₂ be an independent binomial random variable with n = 4 and p_X2 = P(success). Let X = X₁ + X₂. Calculate α if

H₀: p_X1 = p_X2 = 1/2

versus

H₁: p_X1= p_X2> ½

is to be tested by rejecting the null hypothesis when k ≥5.

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