2. Suppose 5000 employees of a company are given a polygraph test during which they are asked if they use drugs. All of them deny drug use but, in fact, 12.5% are drug users. The polygraph is 92% accurate (it will correctly detect 92% of the people who are lying and 92% of the people who are telling the truth). Anyone who fails the polygraph is accused of lying. a) Use the information above to complete a table like the one from class where the categories of people are Drug Users and Non-Users and the test result outcomes are Found Lying and Found Truthful. Be sure to include your work that demonstrates where the numbers in the table come from. b) What percentage of those accused of lying were falsely accused, round your answer to the nearest .1%. c) What percentage of those found truthful were really truthful, round your answer to the nearest .1%?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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### Question 2

Suppose 5000 employees of a company are given a polygraph test during which they are asked if they use drugs. All of them deny drug use but, in fact, 12.5% are drug users. The polygraph is 92% accurate (it will correctly detect 92% of the people who are lying and 92% of the people who are telling the truth). Anyone who fails the polygraph is accused of lying.

a) Use the information above to complete a table like the one from class where the categories of people are Drug Users and Non-Users and the test result outcomes are Found Lying and Found Truthful. Be sure to include your work that demonstrates where the numbers in the table come from.

b) What percentage of those accused of lying were falsely accused, round your answer to the nearest 0.1%?

c) What percentage of those found truthful were really truthful, round your answer to the nearest 0.1%?
Transcribed Image Text:### Question 2 Suppose 5000 employees of a company are given a polygraph test during which they are asked if they use drugs. All of them deny drug use but, in fact, 12.5% are drug users. The polygraph is 92% accurate (it will correctly detect 92% of the people who are lying and 92% of the people who are telling the truth). Anyone who fails the polygraph is accused of lying. a) Use the information above to complete a table like the one from class where the categories of people are Drug Users and Non-Users and the test result outcomes are Found Lying and Found Truthful. Be sure to include your work that demonstrates where the numbers in the table come from. b) What percentage of those accused of lying were falsely accused, round your answer to the nearest 0.1%? c) What percentage of those found truthful were really truthful, round your answer to the nearest 0.1%?
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Two by Two Contingency Table: The two by two contingency table (also called fourfold contingency table) represents two classifications of a set of counts or frequencies. The two rows represent classifications of one variable and the two columns represent classifications of another variable.

For example, a count report of cigarette smokers and having lung cancer. The two rows represent the count of smokers and non-smokers while the two columns represent the count of people having lung cancer and those not having lung cancer.

The sum of row totals and the sum of column totals must match and should be equal to the total count or frequency.

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