The number of successes in n trials is to be used to test the hypothesis that the parameter of a binomial population als against the altermative that it does not equal - sheחחה

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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The number of successes in n trials is to be used to test the
null hypothesis that the parameter of a binomial population
equals against the altemative that it does not equal:
Find an expression for the likelihood ratio statistic
Use the result of part (a) to show that the critical region of
the likelihood ratio test can be written as
b.
xlnx + (n – x)ln(n – x) 2 k
where x is the observed number of successes
Transcribed Image Text:The number of successes in n trials is to be used to test the null hypothesis that the parameter of a binomial population equals against the altemative that it does not equal: Find an expression for the likelihood ratio statistic Use the result of part (a) to show that the critical region of the likelihood ratio test can be written as b. xlnx + (n – x)ln(n – x) 2 k where x is the observed number of successes
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