A test is used to screen people for hepatitis B. The sensitivity of the test is 95% and the specificity of the test is 90%. Assume that the total number of persons being tested for hepatitis B is 50,000. Assume that the true prevalence of hepatitis B in the population is 100 per 50,000. Disease present Disease absent Positive test a- true positive b- false positive Negative test C- false negative d= true negative 1) Calculate the number of true positives 2) Calculate the number of false positives

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A test is used to screen people for hepatitis B. The sensitivity of the test is 95% and the
specificity of the test is 90%. Assume that the total number of persons being tested for
hepatitis B is 50,000. Assume that the true prevalence of hepatitis B in the population is
100 per 50,000.
Disease present
Disease absent
Positive test
a- true positive
b= false positive
Negative test
C- false negative
d= true negative
1) Calculate the number of true positives
2) Calculate the number of false positives
Transcribed Image Text:A test is used to screen people for hepatitis B. The sensitivity of the test is 95% and the specificity of the test is 90%. Assume that the total number of persons being tested for hepatitis B is 50,000. Assume that the true prevalence of hepatitis B in the population is 100 per 50,000. Disease present Disease absent Positive test a- true positive b= false positive Negative test C- false negative d= true negative 1) Calculate the number of true positives 2) Calculate the number of false positives
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