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PROBLEM 1. A new test is developed for the detection of carcinoma of the prostate.(Foti et al. N Engl. J Med. 1977). When it is tested in a group of 113 patients with prostatic cancer, 79 have a positive test. na group of 217 individuals without prostatic cancer, 10 have a positive test. a) What is the specificity and sensitivity of the test? b) Calculate FP rate and FN rate c) In patients with palpable prostatic nodules, the prevalence of prostatic cancer is 0.5%. The test under these conditions has a sensitivity of 80%. Assuming the specificity is 95%, what is the probability that a patient with a positive test result having prostatic cancer? (10 marks)

PROBLEM 1. A new test is developed for the detection of carcinoma of the prostate.(Foti et al. N Engl. J Med. 1977). When it is tested in a group of 113 patients with prostatic cancer, 79 have a positive test. na group of 217 individuals without prostatic cancer, 10 have a positive test. a) What is the specificity and sensitivity of the test? b) Calculate FP rate and FN rate c) In patients with palpable prostatic nodules, the prevalence of prostatic cancer is 0.5%. The test under these conditions has a sensitivity of 80%. Assuming the specificity is 95%, what is the probability that a patient with a positive test result having prostatic cancer? (10 marks)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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PROBLEM 1. A new test is developed for the detection of carcinoma of the prostate.(Foti et al. N Engl. J Med. 1977). When it is tested in a group of 113 patients with prostatic cancer, 79 have a positive test. In a group of 217 individuals without prostatic cancer, 10 have a positive test. a) What is the specificity and sensitivity of the test? b) Calculate FP rate and FN rate c) In patients with palpable prostatic nodules, the prevalence of prostatic cancer is 0.5%. The test under these conditions has a sensitivity of 80%. Assuming the specificity is 95%, what is the probability that a patient with a positive test result having prostatic cancer? (10 marks)
Transcribed Image Text:PROBLEM 1. A new test is developed for the detection of carcinoma of the prostate.(Foti et al. N Engl. J Med. 1977). When it is tested in a group of 113 patients with prostatic cancer, 79 have a positive test. In a group of 217 individuals without prostatic cancer, 10 have a positive test. a) What is the specificity and sensitivity of the test? b) Calculate FP rate and FN rate c) In patients with palpable prostatic nodules, the prevalence of prostatic cancer is 0.5%. The test under these conditions has a sensitivity of 80%. Assuming the specificity is 95%, what is the probability that a patient with a positive test result having prostatic cancer? (10 marks)
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