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.
1.How many of Acme's 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")..
You may use ideas from the discussion board, but you are expected to write your solution using your own words to explain your reasoning. The report should be no more than 3 pages.
Question # 2
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?