10.7 The test for screening donated blood for the presence of the AIDS virus was developedin the 1980s. It is designed to detect antibodies, substances produced in the body of donors carryingthe 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 accuracyof the test, 1,000 persons known to have AIDS and 10,000 persons known to not have AIDS were givernthe test. The following results were tabulated:True State of PatientTest ResultPositive testNegative testTotalHas AidsDoes Not Have AidsTotal99375919,40910,0001,5849,4161,00011,000a. Place a 99% confidence interval on the proportion of false positives produced bythe test.Is there substantial evidence (α = 01) that the test produces less than 5% falsepositives.b

a.In the provided data, the sample size (n) is 11,000 and the number of patients who are detected…

Answered: 10.7 The test for screening donated…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?
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