Is there significant evidence (a=0.01) that the test produces more than 5% false positives. Report your conclusion O No, there is insufficient evidence that the test produces more than 5% false positives O The conclusion depends on which test method alternative that is used O Yes, there is significant evidence that the test produces more than 5% false positives

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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QUESTION 14
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
3.
9,470
9,473
Total
1,000
10,000
11,000
Transcribed Image Text:QUESTION 14 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 3. 9,470 9,473 Total 1,000 10,000 11,000
Test Result
Has AldS
Positive Test
997
530
1,527
Negative Test
3.
9.470-
9,473
Total
1,000
10,000
11,000
Is there significant evidence (a=0.01) that the test produces more than 5% false positives. Report your conclusion
O No, there is insufficient evidence that the test produces more than 5% false positives
The conclusion depends on which test method alternative that is used
Yes, there is significant evidence that the test produces more than 5% false positives
Transcribed Image Text:Test Result Has AldS Positive Test 997 530 1,527 Negative Test 3. 9.470- 9,473 Total 1,000 10,000 11,000 Is there significant evidence (a=0.01) that the test produces more than 5% false positives. Report your conclusion O No, there is insufficient evidence that the test produces more than 5% false positives The conclusion depends on which test method alternative that is used Yes, there is significant evidence that the test produces more than 5% false positives
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