also: Question 11. Compute the interval: A) (-0.0266, 0.0066), B) -0.0266

QUESTION 10 A certain change in a process for manufacturing components parts is being considered. Samples are taken under both existing and the new processes so as to determine if the new process results in an improvement. It is found that 75 out of 1500 items from the existing process and 80 out of 2000 items from the new process are defective. What formula should be used in order to find a 98% confidence interval for the difference in the proportion of defectives between the existing and the new processes. Are the assumptions satisfied for using the formula? Use subscript 1 for the existing process and 2 for the new process. P191 P292 P1 - P2 + Zag n1 n2 O Assumptions are satisfied since both samples are large according to the criteria n 2 30 . P191 P292 P1 - P2 +2a/21 n1 n2 O Assumptions are satisfied since both samples are large according to the criteria np 2 10 and nq 2 10, and the samples are independent. p (1 - p) p +za/21 O n Assumptions are satisfied since both samples are large according to the criteria np 2 10 and nq 2 10. p(1 - p) p + zay n O Assumptions are satisfied since both samples are large according to the criteria n 2 30