Polygraph tests have an accuracy rate of about 90% meaning a positive will indicate the person is lying. A company of 5000 employees has everyone submit to a polygraph test. It turns out there are 50 employees who will lie during their polygraph. (Do not use commas.)
Positive test result | Negative test result | Total | |
You are lying | 50 | ||
You were not lying | |||
Total | 5000 |
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Answer:
From the given data, we have 90% of 4950 = 4455 correctly identifying truth tellers
we have 90% of 50 = 45 correctly identifying truth tellers. Rest are negative -> 5
test result | ||||
Positive | Negative test result | total | ||
in actual | You are lying | 45 | 5 | 50 |
You were not lying | 4455 | 495 | 4950 | |
total | 4500 | 500 | 5000 |
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