Question

According to Bendavid et al. (2020), 2.8% of residents in the Santa Clara County, California have antibodies to SARS-CoV-2. BioMedomics Covid-19 IgM/IgG Rapid Test has 88.7% sensitivity and 90.6% specificity. If a resident of Santa Clara County tested positive for the SARS-CoV-2 antibody from that test, what is the probability that the person actually has the antibody? Clearly define the events of interest using the context of the problem to receive full credit.

Hint: (1) Sensitivity measures how often a test correctly generates a positive result for people who have the condition that’s being tested for and (2) Specificity measures a test’s ability to correctly generate a negative result for people who don’t have the condition that’s being tested for.

Answer 1

Thanks!