High School

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.

| | Positive Test Result | Negative Test Result | Total |
|------------------|----------------------|----------------------|-------|
| You are lying | 45 | 5 | 50 |
| You were not lying| 4455 | 495 | 4950 |
| Total | 4500 | 500 | 5000 |

Using the data provided, answer the following as a percentage with 2 decimal places: If you had a negative test result, what are the chances you were actually lying?

Answer :

Final answer:

If you had a negative result on a polygraph test, there's a 1.00% chance that you were actually lying.

Explanation:

The question asks if you had a negative test result on a polygraph test, what are the chances you were actually lying. According to the data provided, there were 5 people who were lying but received a negative test result. The total number of employees who received a negative test result overall was 500. Therefore, to calculate the chances of someone who received a negative polygraph result but was actually lying, we divide 5 by 500, then multiply by 100 to get it into a percentage. So, (5/500) * 100 equals 1%. Therefore, if you had a negative test result, your chances of actually having been lying are 1.00%.

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