A new screening test has been developed for diabetic retinopathy. We carried out a study to find out how effective it is in a population of 33, 750 patients with diabetes and retinopathy by fundoscopy. Among 3350 positive with fundoscopy, 3200 were found positive by screening test. And among 30, 400 negative by fundoscopy, 29, 000 of them were negative by screening test. Calculate the sensitivity, specificity,posterior probability of the screening test and prevalence of diabetic retinopathy in this population.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A new screening test has been developed for diabetic retinopathy. We carried out a study to find out how effective it is in a population of 33, 750 patients with diabetes and retinopathy by fundoscopy. Among 3350 positive with fundoscopy, 3200 were found positive by screening test. And among 30, 400 negative by fundoscopy, 29, 000 of them were negative by screening test. Calculate the sensitivity, specificity,posterior probability of the screening test and prevalence of diabetic retinopathy in this population. 

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