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A new non-invasive screening test is suggested that is claimed to be able to recognize patients with impaired glucose tolerance based on the battery of questions related to health behaviors. New test is given to 75 patients. Based on each patient's responses to questions they are categorised as positive or negative for impaired glucose tolerance. Each patient also submits the blood sample and their glucose tolerance status is determined. Results are tabulated below.

Screening Test Impaired Glucose Tolerance Not Impaired
Positive 17 13
Negative 8 37

a) Determine the sensitivity of screening test?

b) Determine the false positive fraction of the screening test?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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