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.
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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:
[tex]p = 0.4\times0.9 + 0.7\times0.1 = 0.43[/tex]
The predictive value of a positive test is is 0.43.
A similar question is given at https://brainly.com/question/22373775