Diagnostic tests of medical conditions can have sev eral types of results. The t
ID: 3060753 • Letter: D
Question
Diagnostic tests of medical conditions can have sev eral types of results. The test result can be positive or negative, whether or not a patient has the condition. A p condition. A negative test () indicates that the patient does not have the condition. Remember, a positive test does not p ositive test (+) indicates Additional medical work may be required. In a recent article, a team of doctors discuss using a fever of 3 lung) as evidenced by x-ray observation. For fever 2 38°C as the diagnostic test, the results for postoperative patients are given below 8°C or higher as a diagnostic indicator of postoperative atelectasis (collapse of the ndition Present Condition Absent 32 78 110 Row Total 97 154 Test Result + Test Result 65 76 141 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(+ l condition present), this is known as the sensitivity of a test. (b) P- I condition present); this is known as the false-negative rate (c) P-I condition absent); this is known as the specificity of a test. (d) P(+ I condition absent); this is known as the false-positive rate. (e) P(condition present and +); this is the predictive value of the test (f) P(condition present and-). ype here to search 12:50 PM ^dx 3/12/2013Explanation / Answer
P(A|B) = P(A×B) / P(B)
P(+ and condition present) = 65/251
P(condition present) = 141/251
So, P( + | condition present) = 65/141
P(- and condition present) = 76/251
So, P(- | condition present ) = 76/141
P( - and condition absent) = 78/251
P(condition absent ) = 110/251
P( - | Condition absent) = 78/110
P( + and condition absent) = 32/251
So, P(+ | condition absent) = 32/110