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3. The accuracy of two types of serology- based COVID-19 tests that have been approved for diagnostic use in the US is summarized in the

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3. The accuracy of two types of serology- based COVID-19 tests that have been approved for diagnostic use in the US is summarized in the table below. A standard metric on the \begin{tabular}{ccc} \hline \hline Developer & Sensitivity & Specifity \hline InBios International, Inc. & $92.5 \%$ & $98.5 \%$ Megna Health, Inc. & $90.5 %$ & $98.9 %$ \hline \end{tabular) performance of COVID-19 tests is their $P V^{+} / P V^{-} $at 5\% prevalence. (a) Find the $P V^{+}$and $P V^{-} $of the test developed by InBios International at $5 \%$ prevalence. (b) Find the $P V^{+} $and $P V^{-}$of the test developed by Megna Health at 5\% prevalence (c) Which of these two tests has a higher $P V^{+} $at $5 %$ prevalence? Which has a higher $P V^{-}$at $5 %$ prevalence? SP.SS.375

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