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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
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. 1 How many of the residents of Springfield 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? The problem you must solve is: 1 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. 1 How many of Acmes employees use drugs? 2 How many of the employees who use drugs get a positive test result? 3 How many of the employees who do not use drugs get a positive test result? 4 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? 5 State a conclusion about the accuracy of the test. To get full credit for this write-up, you should: 1 Answer all parts of the problem. 2 Show your justification for every step in your solution. Use clear, mathematically accurate language. 3 Label all numbers with the units they represent (e.g., 0.3048 ft/meter). 4 Clearly state your conclusions using complete English sentences (for example, Jill needs to add 43 gallons of water to her pool)
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