Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities: a. P(+│condition is present); this is known as the sensitivity of a test. b. P(- │condition is absent); this is known as the specificity of a test. c. P(condition is present and +); this is known as the predictive value of the test.
question 4
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 that 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 is present |
Condition is absent | total | |
| Test result (+) | 110 | 20 | 130 |
| Test result (-) | 20 | 50 | 70 |
| total | 130 | 70 | 200 |
Assume the sample is representative of the entire population. For a person selected at random,
compute the following probabilities:
a. P(+│condition is present); this is known as the sensitivity of a test.
b. P(- │condition is absent); this is known as the specificity of a test.
c. P(condition is present and +); this is known as the predictive value of the test.
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