A certain company offers in-home oral 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 lab test). For 4,901 out of the 4,902 persons who were HIV negative, the 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 HIV No HIV Total Pos 90 1 91 Neg 6 4,901 4,907 Total 96 4,902 4,998 Estimate P(HIV|Pos) for the population that the sample of 4,998 people represents. (Round to four decimal places as needed.)

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A certain company offers in-home oral 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 lab test). For 4,901 out of the 4,902 persons who were HIV negative, the 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
90
1
91
Neg
6
Total
96
4,902
4,998
HIV
No HIV
Total
Estimate P(HIV|Pos) for the population that the sample of 4,998 people represents. (Round to four decimal places as needed.)
4,901
4,907
Transcribed Image Text:A certain company offers in-home oral 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 lab test). For 4,901 out of the 4,902 persons who were HIV negative, the 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 90 1 91 Neg 6 Total 96 4,902 4,998 HIV No HIV Total Estimate P(HIV|Pos) for the population that the sample of 4,998 people represents. (Round to four decimal places as needed.) 4,901 4,907
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