Reference no: EM132479688
Problem: 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 + 108 22 130
Test Result - 17 53 70
Column Total 125 75 200
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.
Answer: ?
(b) P(- | condition present); this is known as the false-negative rate.
Answer: ?
(c) P(- | condition absent); this is known as the specificity of a test.
Answer: ?
(d) P(+ | condition absent); this is known as the false-positive rate.
Answer: ?
(e) P(condition present and +); this is the predictive value of the test.
Answer:
(f) P(condition present and -).
Answer:
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