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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 independent iab test). For 4,901 out of the 4902 persons who were HIV negative, e 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 96 No HIV 1 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.)

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 independent iab test). For 4,901 out of the 4902 persons who were HIV negative, e 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 96 No HIV 1 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.)

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 8E: Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of...
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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.)
Transcribed Image Text: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=True positiveTotal diseased

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.

  Diseased Non-diseased
Test positive True positive(TP) False positive(FP)
Test negative False negatives(FN) True negatives(TN)
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