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Chapter 10 Homework F10

# Chapter 10 Homework F10 - AMS 315 Data Analysis Fall...

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AMS 315 Data Analysis Fall Semester, 2010 Chapter Ten Homework Assignment due on Tuesday, November 16, 2010 Problems: Example examination problems 1 and 2 below, and 10.6, 10.19, 10.54, 10.59, 10.63, Actuarial Examination Practice problem below, and the two example examination questions. Text Problems 10.6. A 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. HIV Status Test Result Has HIV Does Not Have HIV Total Positive Test 993 591 1,584 Negative Test 7 9,409 9,416 Total 1,000 10,000 11,000 a. Place a 95% confidence interval on the proportion of false positives produced by the test. b. Is there substantial evidence ( 05 . 0 = α ) that the test produces less than 5% false positives? 10.19. The media selection manager for an advertising agency inserts the same advertisement for a client bank in two magazines, similarly placed in each. One month later, a market research study finds that 226 of 473 readers of the first magazine are aware of the banking services offered in the ad, as are 165 of 439 readers of the second magazine (readers of both magazines

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Chapter 10 Homework F10 - AMS 315 Data Analysis Fall...

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