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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
10.7 Refer to Exercise 10.6.
a. Place a 95% confidence interval on the proportion of false negatives produced by the test.
b. Is there substantial evidence (a = .05Â ) that the test produces less than 1% false negatives?
c. Which of the two types of errors, false positives or false negatives, do you think is more crucial to public safety? Explain your reasoning.
Exercise 10.6.
10.6 The test was developed in the 1980s for screening donated blood for the presence of HIV. The test is designed to detect antibodies, substances produced in the body of donors carrying the virus; however, the test 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, 1,000 persons known to have HIV and 10,000 persons known to not have HIV were given the test. The following results were tabulated:

a. Place a 95% confidence interval on the proportion of false positives produced by the test.
b. Is there substantial evidence (a = .05 ) that the test produces less than 5% false positives?
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