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 correctlydetect 92% of the people who are lying and 92% of the people who are telling the truth). Anyone who fails thepolygraph is accused of lying.a) Use the information above to complete a table like the one from class where the categories of people are DrugUsers and Non-Users and the test result outcomes are Found Lying and Found Truthful. Be sure to includeyour 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%?

Answered: 2. Suppose 5000 employees of a company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 .1%.
c) What percentage of those found truthful were really truthful, round your answer to the nearest .1%?

Expert Solution

Step 1

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.