Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: Accurate Error Total Nonusers (true negative) (false positive) 9500 Users (true positive) (false negative) 500 Total 9820 180 10,000 Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? (Round to three decimal places.) Looking only at negative results, what is the probability of a false negative? (round to three decimal places) Would you consider this test to be accurate or not? Explain your reasoning fully.
Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: Accurate Error Total Nonusers (true negative) (false positive) 9500 Users (true positive) (false negative) 500 Total 9820 180 10,000 Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? (Round to three decimal places.) Looking only at negative results, what is the probability of a false negative? (round to three decimal places) Would you consider this test to be accurate or not? Explain your reasoning fully.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart:
| Accurate | Error | Total | |
| Nonusers |
(true negative) |
(false positive) |
9500 |
| Users |
(true positive) |
(false negative) |
500 |
| Total | 9820 | 180 | 10,000 |
Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested.
Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? (Round to three decimal places.)
Looking only at negative results, what is the probability of a false negative? (round to three decimal places)
Would you consider this test to be accurate or not? Explain your reasoning fully.
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