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QUESTION A: Consider a particular genetic disease affects 3% of adults in the U.S. population. Fortunately, there is a genetic test for the gene that
QUESTION A: Consider a particular genetic disease affects 3% of adults in the U.S. population. 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 Springfield, there are 100,000 adults, and they all get tested for the disease.
- How many of the residents of Springfield are likely to have the disease?
- How many of the people who actually have the disease get a positive test result?
- How many of the people who do not have the disease get a positive test result?
- 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?
- What does this percentage tell you about the test?
- QUESTION B: Based on what you learned from the problem ABOVE, you will submit a written report describing your solution to a similar problem, below. The problem you must solve is :Acme Manufacturing Company requires all of its 5000 employees to take a drug test. Suppose 2% of the employees actually use drugs (although the company does not know this number). The drug test is 95% accurate.
- How many of Acmes employees use drugs?
- How many of the employees who use drugs get a positive test result?
- How many of the employees who do not use drugs get a positive test result?
- Of the employees who get a positive test result, how many of them use drugs? Convert this to a percentage: What percent of people who get a positive result actually use drugs?
- State a conclusion about the accuracy of the test.
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