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The ELISA test is used to screen donated blood for the AIDS virus.  It is estimated that 0.5% of the population is infected by the AIDS virus.  The accuracy of the test is 97.7%; that is, a sample with the AIDS virus is correctly identified to be carrying the virus 97.7% of the time [P(POSITIVE | AIDS) = 0.977].  The specificity of the test is 92.6%; a healthy blood sample is correctly diagnosed 92.6% of the time [P(NEGATIVE | NO AIDS) = 0.926]. Starting with a population of 1,000,000 bottles of donated blood, find the number of bottles in each of the following four categories: AIDS Infected which tested POSITIVE AIDS Infected that tested NEGATIVE NO AIDS Infected that tested POSITIVE NO AIDS Infected that tested NEGATIVE.  Discuss the false positive and false negative results.  Should ELISA’s credibility be questioned?

The ELISA test is used to screen donated blood for the AIDS virus.  It is estimated that 0.5% of the population is infected by the AIDS virus.  The accuracy of the test is 97.7%; that is, a sample with the AIDS virus is correctly identified to be carrying the virus 97.7% of the time [P(POSITIVE | AIDS) = 0.977].  The specificity of the test is 92.6%; a healthy blood sample is correctly diagnosed 92.6% of the time [P(NEGATIVE | NO AIDS) = 0.926]. Starting with a population of 1,000,000 bottles of donated blood, find the number of bottles in each of the following four categories: AIDS Infected which tested POSITIVE AIDS Infected that tested NEGATIVE NO AIDS Infected that tested POSITIVE NO AIDS Infected that tested NEGATIVE.  Discuss the false positive and false negative results.  Should ELISA’s credibility be questioned?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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The ELISA test is used to screen donated blood for the AIDS virus.  It is estimated that 0.5% of the population is infected by the AIDS virus.  The accuracy of the test is 97.7%; that is, a sample with the AIDS virus is correctly identified to be carrying the virus 97.7% of the time [P(POSITIVE | AIDS) = 0.977].  The specificity of the test is 92.6%; a healthy blood sample is correctly diagnosed 92.6% of the time [P(NEGATIVE | NO AIDS) = 0.926].

Starting with a population of 1,000,000 bottles of donated blood, find the number of bottles in each of the following four categories:

  • AIDS Infected which tested POSITIVE
  • AIDS Infected that tested NEGATIVE
  • NO AIDS Infected that tested POSITIVE
  • NO AIDS Infected that tested NEGATIVE. 

Discuss the false positive and false negative results.  Should ELISA’s credibility be questioned?

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