Please show all work in solving the appropriate problem. 2) A new non-invasive s
ID: 3179641 • Letter: P
Question
Please show all work in solving the appropriate problem.
2) A new non-invasive screening test is proposed that is claimed to be able to identify patients with impaired glucose tolerance based on a battery of questions related to health behaviors. The new test is given to 75 patients. Based on each patient’s responses to the questions they are classified as positive or negative for impaired glucose tolerance. Each patient also submits a blood sample and their glucose tolerance status is determined. The results are tabulated below.
Screening Test
Impaired Glucose Tolerance
Not Impaired
Positive
17
13
Negative
8
37
a) What is the sensitivity of the screening test?
b) What is the false positive fraction of the screening test?
Screening Test
Impaired Glucose Tolerance
Not Impaired
Positive
17
13
Negative
8
37
Explanation / Answer
A) Sensitivity = probability condition/disease will be detected if present
= positive test and diesease is present/ disease is present
= 17/(17+8) = 0.68
B) False positive = cases in which disease is not present where positive test result is obtained
= 8/25 = 0.32
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