QUESTION 13 The test for screening donated blood for the presence of the AlIDS 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 han 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

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QUESTION 13
The test for screening donated blood for the presence of the AlDS 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 AlDS 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
000
Transcribed Image Text:QUESTION 13 The test for screening donated blood for the presence of the AlDS 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 AlDS 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 10,000 000
1,000
10,000
11,000
Total
conclusion.
Is there significant evidence that the test produces less than 1% false negatives. Report the p-value and your
O p-value=D0.052>0.05%3DaFail to reject Ho: There is insufficient evidence that the test produces less than 1% false negatives
O p-value=1.000>0.053Da→ Fail to reject Ho: There is insufficient evidence that the test produces less than 1% false negatives
O p-value=D0.026<0.05%3Da Reject Ho: There is significant evidence that the test produces less than 1% false negatives
O p-value=D0.013<0.05%3a Reject Ho: There is significant evidence that the test produces less than 1% false negatives
Transcribed Image Text:1,000 10,000 11,000 Total conclusion. Is there significant evidence that the test produces less than 1% false negatives. Report the p-value and your O p-value=D0.052>0.05%3DaFail to reject Ho: There is insufficient evidence that the test produces less than 1% false negatives O p-value=1.000>0.053Da→ Fail to reject Ho: There is insufficient evidence that the test produces less than 1% false negatives O p-value=D0.026<0.05%3Da Reject Ho: There is significant evidence that the test produces less than 1% false negatives O p-value=D0.013<0.05%3a Reject Ho: There is significant evidence that the test produces less than 1% false negatives
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