Question 1040016
sensitivity = true positives / (true positives + false negatives)
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specificity = true negatives / (true negatives + false positives)
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true positive: the patient has the disease and the test is positive
false positive: the patient does not have the disease but the test is positive
true negative: the patient does not have the disease and the test is negative
false negative: the patient has the disease but the test is negative
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A test with 100% sensitivity correctly identifies all patients with the disease. A test with 80% sensitivity detects 80% of patients with the disease (true positives) but 20% with the disease go undetected (false negatives).
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A test with 100% specificity correctly identifies all patients without the disease. A test with 90.1% specificity correctly reports 90.1% of patients without the disease as test negative (true negatives) but 9.9% patients without the disease are incorrectly identified as test positive (false positives).
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0.20 * 0.58 = 0.116 approx 0.12 million are false negatives
0.80 * 0.58 = 0.464 approx 0.46 million are true positives
3.3 - 0.58 = 2.72 million patients without the disease
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0.901 * 2.72 =  2.45072 approx 2.45 million patients are true negatives
0.099 * 2.72 =  0.26928 approx 0.27 million patients are false positives
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0.46 0.27 0.73
0.12 2.45 2.57
0.58 2.72 3.30
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