Question

Polygraph tests have an accuracy rate of about 90% meaning a positive will indicate the person...

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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