A physical examination and an audiometric test were given to 500 persons with su

Question

A physical examination and an audiometric test were given to 500 persons with suspected hearing problems, of whom 300 were actually found to have them. The results of the examinations were as follows: PHYSICAL EXAMINATION HEARING PROBLEMS Result Present Absent Positive 260 30 Negative 40 170 AUDIOMETRIC TEST HEARING PROBLEMS Result Present Absent Positive 290 10 Negative 10 190 12. The sensitivity of the physical examination was: [ONE POINT] 13. The specificity of the physical examination was: [ONE POINT] 14. The positive predictive value of the physical examination was: [ONE POINT] 15. The negative predictive value of the physical examination was: [ONE POINT] 16. The sensitivity of the audiometric test was: [ONE POINT] 17. The specificity of the audiometric test was: [ONE POINT] 18. The positive predictive value of the audiometric test was: [ONE POINT] 19. The negative predictive value of the audiometric test was: [ONE POINT

Explanation / Answer

PHYSICAL
HEARING PROBLEMS
Result Present Absent
Positive 260 30
Negative 40 170
AUDIOMETRIC TEST
HEARING PROBLEMS
Result Present Absent
Positive 290 10
Negative 10 190

sensitivity is given as
TP/TP+FN
where TP is true positive and FN is false negative

for physical test it is
260/(260+40) = 0.87

specifit is given as
TN/TN+FP
where TN is true negative and FP is false positive

170/(170+30) = 0.85

The positive predictive value of the physical test was: 260 +30 = 290 , adding the positive outcomes

The negative predictive value of the physical test was:
40 +170 = 210 adding the negative outcomes

please note that we can answer 4 parts of a question at a time

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