Amanufacturer of cameras purchases large shipments of lenses from a supplier. you are the buying agent for the camera manufacturer. part of your job is to test each shipment of lenses to determine whether the shipment meets the quality standards promised by the supplier. the supplier has promised that less than 10% of its lenses are defective. you are perpetually skeptical of this claim, and so you take a random sample of 20 lenses in order to test the null hypothesis that at least 10% are defective, against the alternative hypothesis that fewer than 10% are defective.

multiple choice #17 what is the maximum probability of type i error if the smallest rejection region is used? a. 0.1351 c. 0.0135 b. 0.0122 d. 0.1216

multiple choice #18 (continued) what is the smallest sample size that will allow the maximum probability of type i error to be controlled at 5%? a. 27 c. 29 b. 28 d. 30

multiple choice #19 (continued) what is the power of the test (using the sample size in the previous question) if 8% of lenses are defective? a. 0.0077 c. 0.0968 b. 0.0891 d. 0.0471