Question

Company records show that the proportion of defective parts has historically been 5%, however a quality control engineer believes that due to budget cuts these numbers have increased. To test this claim a random sample of N = 15 parts will be taken and if more than two defective parts are found the inspector will conclude that the proportion of defective parts has increases. If the true probability of a defective part is in fact p = 10% what is the probability of a type two error?

A. 97%

B. 18.5%

C. 3%

D. 81.5%

Answer 1