please show work!(state, plan, do, conclude)

ness of your methods as well as on the accuracy of your results and explanation. 1. A company that sells glassware has two manufacturing plants. In a quality control inspection of a random sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a random sample of 200 pieces from plant B, 6% of the pieces had a defect. (a) Construct and interpret a 99% confidence interval for the true difference in the proportion of pieces from plant A that are defective and the proportion of pieces from plant B that are defective. (8 pts)