The Dorben Electronics Co., manufacturer of resistors, screens potential quality control inspectors before they are hired. Dorben has developed the following preemployment test. Each potential employee is presented with the same set of 1000 resistors of which 500 are defective. The results for two applicants are as follows: 1) of the 500 good resisters, applicant #1 labeled 100 as defective, of the 500 bad resistors, applicant #1 labeled 200 as defective, 2) of the 500 good resisters, applicant #2 labeled 50 as defective, of the 500 bad resistors, applicant #2 labeled 300 as defective.
(a) Treat picking a defective resistor as defective as a hit. Fill in the following table.
(b) Given that Dorben places a very large emphasis on quality control (i.e. they don't wish to sell a defective product at any cost), which applicant would better fulfill their goal? Why?
(c) Given that Dorben wishes to hire the most efficient inspector (i.e. most correct), which applicant would they hire?