Solved: A certain type of flashlight is sold with the four
Chapter 14, Problem 15E(choose chapter or problem)
Problem 15E
A certain type of flashlight is sold with the four batteries included. 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 randomly selected flashlight. Test the null hypothesis that the distribution of X is Bin(4, θ ). That is, with pi = P(i defectives), test
[Hint: To obtain the mle of θ , write the likelihood (the function to be maximized) as, where the exponents u and v are linear functions of the cell counts. Then take the natural log, differentiate with respect to u, equate the result to 0, and solve for ]
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