Concept explainers
Disease Test. Suppose a test for a disease is 90% accurate for those who have the disease (true positives) and 90% accurate for these who do not have the disease (true negatives). Within a sample of 2000 patients, the incidence rate of the disease is the national average, which is 2%.
a. Verify that the entries in the following table agree with the information given and that the overall incidence rate is 2%.
Explain.
Disease | No Disease | Total | |
Test positive | 36 | 196 | 232 |
Test negative | 4 | 1764 | 1768 |
Total | 40 | 1960 | 2000 |
b. Of those with the disease, what percentage test positive?
c. Of those who test positive, what percentage have the disease? Compare this result to that from part (b) and explain why they are different.
d. Of those who test positives what percentage do not have the disease?
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Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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