Suppose X1, ..., X20 is a random sample from Bernoulli(p) distribution. Test Hop = 0.7 vs H₁ : p 0.7 at a 0.05. Under the null hypothesis, p T* = ~ N(0, 1). 0.7*(1-0.7) n Use a Monte Carlo method to compute an empirical probability of Type I error and check that it is approx- imately equal to α = 0.05. (Note: You can use the prop.test function in R.)

Suppose X1, ..., X20 is a random sample from Bernoulli(p) distribution. Test Hop = 0.7 vs H₁ : p 0.7 at a 0.05. Under the null hypothesis, p T* = ~ N(0, 1). 0.7*(1-0.7) n Use a Monte Carlo method to compute an empirical probability of Type I error and check that it is approx- imately equal to α = 0.05. (Note: You can use the prop.test function in R.)

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.7: Z-transforms

Problem 3P

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