Consider a particular genetic disease affects % of adults in the U.S. population (for the value of x to use, see below). Fortunately, there is a genetic test for the gene that causes the disease. The test is 98% accurate; that is, 98% of the people who take the test get the correct result (and 2% of people tested get the wrong result). In Smithville, there are 200,000 adults, and they all get tested for the disease. mi 1. How many of the residents of Smithville are likely to have the disease? 2. How many of the people who actually have the disease get a positive test result? 3. How many of the people who do not have the disease get a positive test result? 4. Of the people who get a positive test result, how many of them have the disease? Convert this to a percentage: What percent of people who get a positive result actually have the disease? 5. What does this percentage tell you about the test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Consider a particular genetic disease affects *% of
adults in the U.S. population (for the value of x to use,
see below). Fortunately, there is a genetic test for the
gene that causes the disease. The test is 98% accurate;
that is, 98% of the people who take the test get the
correct result (and 2% of people tested get the wrong
result).
In Smithville, there are 200,000 adults, and they all get
tested for the disease.
1. How many of the residents of Smithville are likely to have the disease?
2. How many of the people who actually have the disease get a positive test result?
3. How many of the people who do not have the disease get a positive test result?
4. Of the people who get a positive test result, how many of them have the disease? Convert this to a
percentage: What percent of people who get a positive result actually have the disease?
5. What does this percentage tell you about the test?
Transcribed Image Text:Consider a particular genetic disease affects *% of adults in the U.S. population (for the value of x to use, see below). Fortunately, there is a genetic test for the gene that causes the disease. The test is 98% accurate; that is, 98% of the people who take the test get the correct result (and 2% of people tested get the wrong result). In Smithville, there are 200,000 adults, and they all get tested for the disease. 1. How many of the residents of Smithville are likely to have the disease? 2. How many of the people who actually have the disease get a positive test result? 3. How many of the people who do not have the disease get a positive test result? 4. Of the people who get a positive test result, how many of them have the disease? Convert this to a percentage: What percent of people who get a positive result actually have the disease? 5. What does this percentage tell you about the test?
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