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Based on the data, 1. What percent of positive test results will be false positives? 2. Based on a prevalence of 5%, how many of

Based on the data,

1. What percent of positive test results will be false positives?

2. Based on a prevalence of 5%, how many of those tested are actually infected (according to the gold standard)? How many aren't?

Test result (99% sensitivity and 99% specificity) People truly with disease People truly without disease Totals
Positive 4950 (A) 950 (B) 5900
Negative 50 (C) 94,050 (D) 94,100
Total 5000 95,000 100,000

Predictive value of a positive test: A/A+B=83.8%.

Predictive value of a negative test: D/D+C=99.9%.

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