Problem 6: Suppose we observe a random variable X~ Binomial(n, p). (a) What is the generalized likelihood ratio for testing Ho: p = 0.5 against H₁ : p‡ 0.5? (b) If we will reject Ho when |X - n/2 ≥ d (that is, we reject Ho when X is either to small or too large), what is the significance level of the test when n = 3 12 and d = 5? Hin use binomial distribution to compute the probability.
Problem 6: Suppose we observe a random variable X~ Binomial(n, p). (a) What is the generalized likelihood ratio for testing Ho: p = 0.5 against H₁ : p‡ 0.5? (b) If we will reject Ho when |X - n/2 ≥ d (that is, we reject Ho when X is either to small or too large), what is the significance level of the test when n = 3 12 and d = 5? Hin use binomial distribution to compute the probability.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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