A manufacturer of buttons wished to determine whether the fraction of defective buttons

Chapter 14, Problem 14.26

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A manufacturer of buttons wished to determine whether the fraction of defective buttons produced by three machines varied from machine to machine. Samples of 400 buttons were selected from each of the three machines, and the number of defectives were counted for each sample. The results are shown in the accompanying table. Do these data present sufficient evidence to indicate that the fraction of defective buttons varied from machine to machine?Machine Number of Number Defectives 1 16 2 24 3 9 a Test, using = .05, with a 2 test. *b Test, using = .05, with a likelihood ratio test. [Hint: Refer to Exercise 10.106.]11

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