In: Math
. Refer to the accompanying table showing results from a Chembio test for Hepatitis C among HIV-infected patients.
Positive Test Result |
Negative Test Result |
|
Hepatitis C |
335 |
10 |
No Hepatitis C |
2 |
1153 |
a. 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?
b. 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?
c. 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?
d. 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?