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 a condition are shown. Condition Present Condition Absent Row Total Test Result + 105 25 130 Test Result − 19 51 70 Column Total 124 76 200 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) (d) P(+ | condition absent); this is known as the false-positive rate. (f) P(condition present and −).
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 a condition are shown.
Condition Present | Condition Absent | Row Total | |
Test Result + | 105 | 25 | 130 |
Test Result − | 19 | 51 | 70 |
Column Total | 124 | 76 | 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.)
(d) P(+ | condition absent); this is known as the false-positive rate.
(f) P(condition present and −).
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