A Random Person Is Selected from a Large Population in Which

question 58

Multiple Choice

A random person is selected from a large population in which 5% are users of a dangerous illegal drug.A drug test that correctly identifies users 99% of the times and nonusers 95% of the time (this percentage is called "specificity" of the test) is administered to this individual and gives a positive result.What specificity would actually be required to conclude that the probability that this individual is actually a user of this drug is 0.75?

• A)0.965
• B)0.973
• C)0.978
• D)0.983
• E)0.985

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Definitions:

Personal Reward

A benefit or positive outcome that an individual receives or perceives to receive after performing a particular action.

Social Exchange Theory

A theoretical framework suggesting that social behavior is the result of an exchange process aiming to maximize benefits and minimize costs in relationships.

Altruism

The selfless concern for the well-being of others, often leading to acts of kindness without expectation of reward.

Companionate Love

A type of love marked by profound attachment, companionship, and emotional closeness, commonly observed in enduring relationships.