Question: A company is performing a failure analysis for two of its products. It found that for the first product 76 out of 243 failures were

A company is performing a failure analysis for two of its products. It found that for the first product 76 out of 243 failures were due to operator misuse, while for the second product 122 out of 320 failures were due to operator misuse. Construct a 99% two-sided Confidence interval for the difference between the two products of the probabilities that a failure is due to operator misuse. Based on this confidence interval, is there evidence that these probabilities are different for the two products?

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