Refer to Exercise 54.
In exercise
To monitor the manufacturing process at Skiltron Industries, quality inspectors perform periodic inspections of the units being produced. As a matter of policy, if the process is producing no more than 6% defective units, it is considered “in control” and is allowed to continue unadjusted. If, however, the process is producing at a rate above 6%, it will be considered “out of control” and shut down for readjustment. At 2 P. M. inspectors select a sample of 100 units that have just come off the production line and find nine defectives. Set up a hypothesis test to decide whether the process should be shut down. Use an of 5%. Report and explain your conclusion.
a. Describe what a Type I error would be in this situation.
b. Describe what a Type II error would be in this situation.
c. Describe the consequences of Type I and Type II error here.