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The RDT SARS-COV-2 test has 93.8 sensitivity (the probability of a true positive result) and 95.6%...

The RDT SARS-COV-2 test has 93.8 sensitivity (the probability of a true positive result) and 95.6% specificity (the probability of a true negative result) . Suppose that 10% of population is infected with SARS-COV-2. If a randomly selected individual tests positive, what is the probability he or she is infected?

Math   Statistics-And-Probability   
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Answer #1

Probability that the selected individual who is tested positive is actually infected

= Positive Predictive Value

Here, sensitivity of test = 93.8% = 0.938

Specificity of test = 95.6% = 0.956

Prevalence of SARS-COV-2 = 10% = 0.10

Therefore, Positive predictive value =

= 0.703

So, the probability that the randomly selected individual who is tested positive is actually infected is 0.703 (or 70.3%)

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