A random sample of 375 bolts from machine A contained 30 defective bolts, while an independently chosen, random sample of 300 bolts from machine B contained 27 defective bolts. Let p1 be the proportion of the population of all bolts from machine A that are defective, and let p2 be the proportion of the population of all bolts from machine B that are defective. Find a  99% confidence interval for p1-p2. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places.

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