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The predictive value of a positive test is is 0.43.
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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.
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- 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.
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The predictive value of a positive test is:
Probability of a positive test, which is 40% of 90% plus 70% of 10%, so:
The predictive value of a positive test is is 0.43.
A similar question is given at brainly.com/question/22373775