A newly developed test for coronavirus has sensitivity 0.90 and specificity 0.85. Sensitivity is the probability...

A newly developed test for coronavirus has sensitivity 0.90 and specificity 0.85. Sensitivity is the probability of a positive result given that a person has the virus, and specificity is the probability of a negative result given that a person has no virus. Suppose that 12% of the population has the coronavirus. If the test gives you a positive result, what is the probability that you actually have the virus? Show your work.

Expert Solution

orchestra answered 2 years ago

Suppose a test for a disease has a sensitivity of 80% and a specificity of 95%....

Suppose a test for a disease has a sensitivity of 80% and a specificity of 95%. Further suppose that in a certain country with a population of 1,000,000, 21% of the population has the disease. Fill in the accompanying table. -------------------Has disease |Does not have disease| Totals Test positive Test negative Totals

Suppose that a medical test for a certain disease has a sensitivity and specificity of 93%....

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The most commonly used test for HIV has a sensitivity of 0.997 and a specificity of...

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The sensitivity of a diagnostic test is the probability that a true positive (e.g. someone with...

The sensitivity of a diagnostic test is the probability that a true positive (e.g. someone with the disease under question) is correctly identified as such. The specificity, on the other hand, is the probability that a true negative (e.g. a healthy person) is not reported as a positive. You have a COVID-19 antibody test with specificity α and sensitivity β. There are N people in a particular population, and suppose we already know that n of them have the disease....

Suppose that a test for a certain disease has a specificity of 95%. If 2,000 people...

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An ELISA (Enzyme-Linked Immunosorbent Assay) for Hepatitis C has 95 percent sensitivity and 90 percent specificity....

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