## 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

## Consider a particular genetic disease

In this discussion, you will work in small groups in online discussions to solve a mathematics problem involving percents. This group discussion will help prepare you for activity M8A2, in which you will write and submit an individual complete solution to a similar problem.

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?

*Be sure to answer all parts of the question above.* **It is possible that you will not be successful at answering all parts of the question at this point, and that is okay.** Describe what you were able to solve and what questions you have remaining.

**It is important** to follow the Discussion Problem Instructions