Circuit Board Quality A computer manufacturer has four

Chapter 10, Problem 10.4.1

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Circuit Board Quality A computer manufacturer has four suppliers of electrical circuitboards.Randomsamplesof200circuitboardsare taken from each of the suppliers and they are classied as being either acceptable or defective, as given in DS 10.4.1. Consider the problem of testing whether the defective rates are identical for all four suppliers. (a) Calculate the expected cell frequencies. (b) Calculate the Pearson chi-square statistic X2. (c) Calculate the likelihood ratio chi-square statistic G2. (d) What p-values do these chi-square statistics give? (e) Is the null hypothesis that the defective rates are identical rejected at size =0.05? (f) Calculate a 95% two-sided condence interval for the defective rate of supplier A. (g) Calculate a 95% two-sided condence interval for the difference between the defective rates of suppliers B and C.