In Exercises 17-20, refer to the accompanying table showing results from a Chembio test for hepatitis C among HIV-infected patients (based on data from a variety of sources). Negative Test Result Positive Test Result 10 Hepatitis C 335 1153 No Hepatitis C 2 17. False Positive Find the probability of selecting a subject with a positive test result, given that the subject does not have hepatitis C. Why is this case problematic for test subjects? 18. False Negative Find the probability of selecting a subject with a negative test result, given that the subject has hepatitis C. What would be an unfavorable consequence of this error? 19. Positive Predictive Value Find the positive predictive value for the test. That is, find the probability that a subject has hepatitis C, given that the test yields a positive result. Does the result make the test appear to be effective? 20. Negative Predictive Value Find the negative predictive value for the test. That is, find the probability that a subject does not have hepatitis C, given that the test yields a negative result. Does the result make the test appear to be effective?
In Exercises 17-20, refer to the accompanying table showing results from a Chembio test for hepatitis C among HIV-infected patients (based on data from a variety of sources). Negative Test Result Positive Test Result 10 Hepatitis C 335 1153 No Hepatitis C 2 17. False Positive Find the probability of selecting a subject with a positive test result, given that the subject does not have hepatitis C. Why is this case problematic for test subjects? 18. False Negative Find the probability of selecting a subject with a negative test result, given that the subject has hepatitis C. What would be an unfavorable consequence of this error? 19. Positive Predictive Value Find the positive predictive value for the test. That is, find the probability that a subject has hepatitis C, given that the test yields a positive result. Does the result make the test appear to be effective? 20. Negative Predictive Value Find the negative predictive value for the test. That is, find the probability that a subject does not have hepatitis C, given that the test yields a negative result. Does the result make the test appear to be effective?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Transcribed Image Text:In Exercises 17-20, refer to the accompanying table showing results from a Chembio test
for hepatitis C among HIV-infected patients (based on data from a variety of sources).
Negative Test Result
Positive Test Result
10
Hepatitis C
335
1153
No Hepatitis C
2
17. False Positive Find the probability of selecting a subject with a positive test result, given
that the subject does not have hepatitis C. Why is this case problematic for test subjects?
18. False Negative Find the probability of selecting a subject with a negative test result, given
that the subject has hepatitis C. What would be an unfavorable consequence of this error?
19. Positive Predictive Value Find the positive predictive value for the test. That is, find the
probability that a subject has hepatitis C, given that the test yields a positive result. Does the
result make the test appear to be effective?
20. Negative Predictive Value Find the negative predictive value for the test. That is, find the
probability that a subject does not have hepatitis C, given that the test yields a negative result.
Does the result make the test appear to be effective?
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