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Some Employers Use Lie Detector Tests to Screen Job Applicants

question 196

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Some employers use lie detector tests to screen job applicants. Lie detector tests are not completely reliable. Suppose that in a lie detector test, 65% of lies are identified as lies and that 14% of true statements are also
Identified as lies. A company gives its job applicants a polygraph test, asking "Did you tell the truth on your job
Application?" Suppose that 93% of the job applicants tell the truth during the polygraph test. What is the
Probability that a person who fails the test was actually telling the truth?


Definitions:

Y-Intercept

The y-intercept is the point where a graph intersects the y-axis, typically represented as the value of y when x equals 0.

Noncollinear Points

A set of three or more points that do not all lie on a single straight line.

Coefficient Matrix

A matrix consisting of the coefficients of the variables in a set of linear equations.

Linear Equations

Equations of the first degree, where variables are raised only to the power of one and graph as straight lines.

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