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Some Employers Use Lie Detector Tests to Screen Job Applicants

question 6

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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:

Grand Total

The sum of all numbers or quantities in a series, often the final total in a table of numbers.

Column Portions

Segments or parts of a column in a table or spreadsheet, often referred to in data analysis.

Two-way Table

A tabular method to represent data that can help in analyzing the relationship between two categorical variables.

Column Percentages

Percentages that represent the portion each category within a column constitutes of the column's total, often used in crosstabulation tables to analyze categorical data.

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