3. Suppose a polygraph test is 80% accurate. Five thousand employees at a company are given the test and asked if they have ever stolen company property. All employees say they have not though 1% actually have done so. (a) Complete the table with the expected results. Have stolen Have not stolen Total Test finds employee is lying Test finds employee is truthful Total 50 4950 5000 (b) What percentage of employees will the test find to be lying? (c) How many employees are likely to be accused of theft when they are in fact innocent? (d) About what percentage of the people who fail the polygraph are actually innocent?

MATLAB: An Introduction with Applications
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3. Suppose a polygraph test is 80% accurate. Five thousand employees at a company are given the test and asked if they have
ever stolen company property. All employees say they have not though 1% actually have done so.
(a) Complete the table with the expected results.
Have stolen
Have not stolen
Total
Test finds employee is lying
Test finds employee is
truthful
Total
50
4950
5000
(b) What percentage of employees will the test find to be lying?
(c) How many employees are likely to be accused of theft when they are in fact innocent?
(d) About what percentage of the people who fail the polygraph are actually innocent?
Transcribed Image Text:3. Suppose a polygraph test is 80% accurate. Five thousand employees at a company are given the test and asked if they have ever stolen company property. All employees say they have not though 1% actually have done so. (a) Complete the table with the expected results. Have stolen Have not stolen Total Test finds employee is lying Test finds employee is truthful Total 50 4950 5000 (b) What percentage of employees will the test find to be lying? (c) How many employees are likely to be accused of theft when they are in fact innocent? (d) About what percentage of the people who fail the polygraph are actually innocent?
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