A quality engineer samples 100 steel rods made on mill A and 150 rods made on mill B. Of the rods from mill A, 88 meet specifications, and of the rods from mill B, 135 meet specifications. a) Estimate the proportion of rods from mill A that meet specifications, and find the uncertainty in the estimate. b) Estimate the proportion of rods from mill B that meet specifications, and find the uncertainty in the estimate. c) Estimate the difference between the proportions, and find the uncertainty in the estimate.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.