A random sample of 350 bolts from machine A contained 35defective bolts, while an independently chosen, random sample of250 bolts from machine B contained 17 defective bolts. LetP1 be the proportion of the population of all bolts frommachine A that are defective, and let P2 be theproportion of the population of all bolts from machine B that aredefective. Find a 99% confidence interval forP1-P2. Then complete the table below. Carryyour intermediate computations to at least three decimal places.Round your responses to at least three decimal places. (Ifnecessary, consult a list of formulas.) What is the lower limit ofthe 99% confidence interval? What is the upper limit of the 99%confidence interval?