Use Bayes' Theorem to Find the Indicated Probability A Test Subject Is Randomly Selected and Tested for the the Table

question 32

Multiple Choice

Use Bayes' theorem to find the indicated probability.
-Refer to the table which summarizes the results of testing for a certain disease. $$\begin{array} { l | c c } & \text { Positive Test Result } & \text { Negative Test Result } \\\hline \text { Subject has the disease } & 87 & 9 \\\text { Subject does not have the disease } & 27 & 312\end{array}$$ A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative?

• A) 0.028
• B) 0.221
• C) 0.972
• D) 0.094

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Definitions:

Estates-General

The Estates-General was a legislative body in pre-revolutionary France made up of representatives from the three estates of the realm: the clergy, the nobility, and the common people.

Universal Suffrage

Universal suffrage is the right of all adult citizens, regardless of gender, race, or economic status, to vote in political elections.

Absolutism

A political doctrine and form of government where unlimited, complete power is held by a centralized sovereign individual, without checks or balances from any other part of the government or society.

Leviathan

A term originally used to refer to a large sea monster from biblical times, but intellectually expanded by Thomas Hobbes to describe an all-powerful sovereign authority in his political theory.