Consider a binomial experiment with n trials for which the probability of a success on any given trial is q = 1/2. Suppose that the number of successes in n trials is to be used to test the null hypothesis HO: q = 1/2 against the alternative hypothesis H1: q = 1/2. a. Derive an expression for the likelihood ratio statistic. b. Show that the critical region of the likelihood ratio test can be written as x In x + (n - x) In(n – x) 2 K

Consider a binomial experiment with n trials for which the probability of a success on any given trial is q = 1/2. Suppose that the number of successes in n trials is to be used to test the null hypothesis HO: q = 1/2 against the alternative hypothesis H1: q = 1/2. a. Derive an expression for the likelihood ratio statistic. b. Show that the critical region of the likelihood ratio test can be written as x In x + (n - x) In(n – x) 2 K

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

See similar textbooks