Solved: A certain type of flashlight is sold with the four batteriesincluded. A random

Chapter 14, Problem 13

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A certain type of flashlight is sold with the four batteriesincluded. A random sample of 150 flashlights is obtained,and the number of defective batteries in each is determined,resulting in the following data: Let X be the number of defective batteries in a randomlyselected flashlight. Test the null hypothesis that the distributionof X is Bin(4, u ). That is, with , test [Hint: To obtain the mle of u , write the likelihood (the functionto be maximized) as , where the exponents uand v are linear functions of the cell counts. Then take thenatural log, differentiate with respect to u, equate the resultto 0, and solve for .]