Diagnostic tests of medical conditions can have several types of results. The te

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Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (-) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown. Condition Present Condition Absent Row Total
Test Result + 100 30 130
Test Result - 22 48 70
Column Total 122 78 200

Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.)
(a) P(+ | condition present); this is known as the sensitivity of a test.
1

(b) P(- | condition present); this is known as the false-negative rate.
2

(c) P(- | condition absent); this is known as the specificity of a test.
3

(d) P(+ | condition absent); this is known as the false-positive rate.
4

(e) P(condition present and +); this is the predictive value of the test.
5

(f) P(condition present and -).
6

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