Production managers on an assembly line must monitor the output to be sure that the level of defective products remains small. They periodically inspect a random sample of the items produced. If they find a significant increase in the proportion of items that must be rejected, they will halt the assembly process until the problem can be identified and repaired. Complete parts a through d below. 14 a) In this context, what is meant by the power of the test the inspectors conduct? O A. The power is the probability that the assembly process is stopped when it should not be because the proportion of items that must be rejected has not increased. O B. The power is the probability that the assembly process is not stopped when it should be because a high number of defective items are being produced. O C. The power is the probability that the assembly process continues because the proportion of items that must be rejected has not increased. O D. The power is the probability that the assembly process is stopped when a high number of defective items are being produced. b) They are currently testing 14 items each hour. Someone has proposed they test 7 items each hour instead. What are the advantages and disadvantages of such a change? The advantage is that it the The disadvantage is that decreasing the number of items tested will c) Their test currently uses a 5% level of significance. What are the advantages and disadvantages of changing to a significance level of 2%? The advantage is that it the The disadvantage is that it d) Suppose that as a day passes one of the machines on the assembly line produces more and more items that are defective. How will this affect the power of the test? The power of the test will because as the problem gets it becomes to detect