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)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
icon
Related questions
Question
What is the solution for this question
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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning