Problem Solving. Solve the following problems. Show all pertinent solutions. No immediate rounding. Round off final answers to three decimal places.

T. {optional} A manufacturer obtained data on breakdowns in two models of portable turntables designed to rotate food in microwave ovens. In a sample of 19? turntables of the first model, 33 broke down within two years of the date of purchase. In a sample of 290 units of the second model, there were 42 that broke down within two years. Test the hypothesis that the proportions of break down of the two models are different. Use o: = 0.05