Recently, a drug company developed a new test for a disease. The table below shows the results of the test compared to whether or not they actually had the disease.

	Tested Positive	Tested Negative
Had the Disease	392	8
Didn't Have the Disease	9980	189620

Use this table to answer the following questions. Round all probabilities to at least 4 decimal places (if necessary).

1) How many people were tested?

2) What is the probability that one selected person had the disease? Write your answer in percent form.

3) What is the probability someone tested positive, given that they do not have the disease? This is called thefalse positive rate.

4) What is the probability someone tested negative, given that they had the disease? This is called thefalse negative rate.

5) What is the probability that someone in this study got an accurate test result? 6) If someone tested positive, what is the probability that they actually had the disease?

7) If someone tested negative, what is the probability that they actually did not have the disease?

Use your answers in #6 and #7 to answer the following:

8) Suppose you take a similar test and your results come back positive. How confident are you that your result is accurate?Explain your answer.

9) Suppose your friend takes a similar test and their results come back negative, How confidence can your friend be that their result is accurate?Explain your answer.

10) Comment on any surprising things you found in this exercise, and why you think they might have happened.