SOLUTION: Suppose that a test has been discovered for a disease that affects 2% of the population. In clinical trials, the test were found to have the following error rates: a. 8% of the pe

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Question 907751: Suppose that a test has been discovered for a disease that affects 2% of the population. In clinical trials, the test were found to have the following error rates:
a. 8% of the people free of the disease had a positive reaction ('false alarm')
b. 1% of the people having the disease had a negative reaction ('missed alarm')
A mass testing program is being proposed for the whole population; anyone with a positive reaction will be suspected having the disease, and will be brought to the hospital for further observation.
a. Of all the people with positive reaction, what proportion will actually be free of the disease?
b. Of all the people with negative reaction, what proportion will actually be free of the disease?
c. Of all the whole population, what proportion will be misdiagnosed one way or another?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a. Of all the people with positive reaction, what proportion will actually be free of the disease? 8%
b. Of all the people with negative reaction, what proportion will actually be free of the disease? 99%
c. Of all the whole population, what proportion will be misdiagnosed one way or another? .08%2A.02+%2B+.01%2A.02