SOLUTION: A quality assurance check is 89% accurate for non-defective devices and 95% accurate for defective devices. Of the devices checked, 82% are not defective. What is the probability o

Question 1089722: A quality assurance check is 89% accurate for non-defective devices and 95% accurate for defective devices. Of the devices checked, 82% are not defective. What is the probability of an incorrect conclusion? Round the answer to the nearest tenth of a percent.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Consider 10000 devices tested. Of those 10000, 8200 will test not defective, and 1800 will test defective. Of those 8200 not defective, 89%, or 7298, will actually be not defective, leaving 902 actually defective. Of the 1800 defective-tested, 95%, or 1710 will actually be defective--leaving 90 non-defective. Thus, 902+90,or 992 out of 10000, or 9.92% will yield an incorrect test conclusion.
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