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Med ed 10 8 Refer to Exercise 10 7 a Place a 99 confidence interval...

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Med ed 10 8 Refer to Exercise 10 7 a Place a 99 confidence interval on the proportion of false negatives produced by the test b Is there substantial evidence a 01 that the test produces less than 2 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 10 7 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 pro duce fewer than 5 false positives and fewer than 1 false negatives In order to evaluate the accuracy Test Result Positive test Negative test Total of the test 1 000 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 Has Aids 993 7 1 000 Does Not Have Aids 591 9 409 10 000 Total 1 584 9 416 11 000 a Place a 99 confidence interval on the proportion of false positives produced by the test b Is there substantial evidence a 01 that the test produces less than 5 false positives

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