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Fiesta28 [93]
2 years ago
9

A new screening test for West Nile Virus is developed for use in the general population. The sensitivity and specificity of the

new test are 60% and 70%, respectively. 300 subjects are screened at a clinic during the first year the new test is implemented. (Assume the true prevalence of West Nile Virus among clinic attendees is 10%.), The predictive value of a positive test is:
Mathematics
1 answer:
morpeh [17]2 years ago
7 0

The predictive value of a positive test is is 0.43.

------------------

This question is solved using the concepts of sensitivity and specificity.

  • Sensitivity: It is the true negative rate, that is, the proportion of people without the disease that test negative.
  • Specificity: It is the true positive rate, that is, the proportion of people with the disease that test positive.

------------------

  • Sensitivity of 60% means that of the 100 - 10 = 90% of people without the disease, 60% test negative and 100 - 60 = 40% test positive.
  • Specificity of 70% means that of the 10% with the disease, 70% test positive.

------------------

The predictive value of a positive test is:

Probability of a positive test, which is 40% of 90% plus 70% of 10%, so:

p = 0.4\times0.9 + 0.7\times0.1 = 0.43

The predictive value of a positive test is is 0.43.

A similar question is given at brainly.com/question/22373775

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