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 in the body of donors carrying the virus;...

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 in 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 accurace of the test, 1,000 persons known to have AIDS and 10,000 persons known to not have AIDS were giventhe test. The following results were tabulated:

Q. Is there substantial evidence (a=0.01) that the test produces less than 2% false negatives?

Extracted text: True State of Patient Test Result Has Aids Does Not Have Aids Total Positive test 993 591 1,584 Negative test 7 9,409 9,416 Total 1,000 10,000 11,000