A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into u
se. A medical researcher selects a random sample of 1000 adults and finds (by other means) that 3% have this type of cancer. Each of the 1000 adults is given the test, and it is found that the test indicates cancer in 99% of those who have it and in 2% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
