UpdateA certain company offers in-home cral HIV testing.According to their website, out of 4,998 personswho were unaware of their HIV status, 96 personswere HIV positive and 4,902 were HIV negative (asdetermine by an indeperdent lab test). For 4,901out of the 4902 persons who were HIV negative,he company's test correctly predicted such anegative result, but incorrectly predicted a positiveresult for the one remaining person. Of the 96persons were HIV positive, the company's testcorrectly predicted a positive result for 90 of themand a negative result for the others. These resultscan be summarized in the table belowPosNegTotalHIV90696No HIV4,9014,902Total914,9074,998Find the estimated sensitivity of the company's testfor the population that the sample of 4,998represents. (Round to four decimal places asneeded.)

Answered: A certain company offers in-home cral…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Update
A certain company offers in-home cral HIV testing.
According to their website, out of 4,998 persons
who were unaware of their HIV status, 96 persons
were HIV positive and 4,902 were HIV negative (as
determine by an indeperdent lab test). For 4,901
out of the 4902 persons who were HIV negative,
he company's test correctly predicted such a
negative result, but incorrectly predicted a positive
result for the one remaining person. Of the 96
persons were HIV positive, the company's test
correctly predicted a positive result for 90 of them
and a negative result for the others. These results
can be summarized in the table below
Pos
Neg
Total
HIV
90
6
96
No HIV
4,901
4,902
Total
91
4,907
4,998
Find the estimated sensitivity of the company's test
for the population that the sample of 4,998
represents. (Round to four decimal places as
needed.)

Expert Solution

Step 1

The sensitivity of the test is calculated as the number of diseased that are correctly classified, divided by all diseased individuals.

Sensitivity= $\frac{T r u e p o s i t i v e}{T o t a l d i s e a s e d}$

Diseased individuals who are tested positive are called true positives and non-diseased individuals who are tested negative are called true negatives. Diseased individuals who are tested negatives are called false negatives and non-diseased individuals who are tested positive are called false positives.