Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300,...

Extracted text: Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Suppose that p1 = 0.05 and p2 = 0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = Round your answer to three decimal places (e.g. 98.765). (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05. n = Round your answer up to the nearest integer.