True State of Patleni Test Result Has Aids Does Not Have Aids Total Positive Test 997 530 1,527 Negative Test 3 9.47b 9,473 Total 1,000 10,000 11,000 Place a 95% confidence interval on the proportion of false negatives by the test. Of the alternative methods available, use a method generally: considered to yield satisfactory results for this situation. Report the upper limit of the confidence interval with 4 decimals

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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QUESTION 12
The test for screening donated blood for the presence of the AIDS virus was developed in the 1980s. It is designed to detect antibodies, substances
produced by the body of donors carrying the virus, however it is not 100% accurate. The developer of the test claimed that the test would produce fewer
than 5% false positives and fewer than 1% false negatives. In order to evaluate the accuracy of the test 1000 persons known to have AIDS and 10,000
persons known to not have aids were given the test. The following results were tabulated:
True State of Patient
Test Result
Has Aids
Does Not Have Aids
Total
Positive Test
997
530
1,527
Negative Test
9,470
9,473
Transcribed Image Text:QUESTION 12 The test for screening donated blood for the presence of the AIDS virus was developed in the 1980s. It is designed to detect antibodies, substances produced by the body of donors carrying the virus, however it is not 100% accurate. The developer of the test claimed that the test would produce fewer than 5% false positives and fewer than 1% false negatives. In order to evaluate the accuracy of the test 1000 persons known to have AIDS and 10,000 persons known to not have aids were given the test. The following results were tabulated: True State of Patient Test Result Has Aids Does Not Have Aids Total Positive Test 997 530 1,527 Negative Test 9,470 9,473
True State of Patient
Has Aids
Does Not Have Aids
Total
Test Result
Positive Test
997
530
1,527
Negative Test
3.
9.470
9,473
Total
1,000
10,000
11,000
Place a 95% confidence interval on the proportion of false negatives by the test. Oof the alternative methods available, use a method generally
considered to yield satisfactory results for this situation. Report the upper limit of the confidence interval with 4 decimals
Transcribed Image Text:True State of Patient Has Aids Does Not Have Aids Total Test Result Positive Test 997 530 1,527 Negative Test 3. 9.470 9,473 Total 1,000 10,000 11,000 Place a 95% confidence interval on the proportion of false negatives by the test. Oof the alternative methods available, use a method generally considered to yield satisfactory results for this situation. Report the upper limit of the confidence interval with 4 decimals
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