How many of Acme’s employees use drugs? How many of the employees who use drugs get a positive test result?

How many of Acme’s employees use drugs? How many of the employees who use drugs get a positive test result?

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 Acme’s 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.
To get full credit for this write-up, you should:

Answer all parts of the problem.
Show your justification for every step in your solution. Use clear, mathematically accurate language.
Label all numbers with the units they represent (e.g., 0.3048 ft/meter).
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.

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