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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 problems related to health behaviors. The new test is given to 75 patients. Based on each patient's responses to the problems 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?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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