Rapid tests for COVID-19 have recently emerged in public health. However, their efficacy is often called into question. Let’s say a university recently tested one such COVID-19 rapid response test developed by a company. In their trial, they tested a sample of 1,517 adults. Four had COVID-19 but tested negative (i.e., false negative), 166 had COVID-19 and tested positive (i.e., results were correct), 129 did not have COVID-19 but tested positive (i.e., false positive), and 1,218 did not have COVID-19 and tested negative (i.e., results were correct). If a randomly sampled individual from this population tests positive on the rapid test for COVID-19, what is the probability that he/she actually has COVID-19? If a randomly sampled individual from this population tests negative on the rapid test for COVID-19, what is the probability that he/she does not have COVID-19?

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4. Rapid tests for COVID-19 have recently emerged in public health. However, their efficacy is often called into question. Let’s say a university recently tested one such COVID-19 rapid response test developed by a company. In their trial, they tested a sample of 1,517 adults. Four had COVID-19 but tested negative (i.e., false negative), 166 had COVID-19 and tested positive (i.e., results were correct), 129 did not have COVID-19 but tested positive (i.e., false positive), and 1,218 did not have COVID-19 and tested negative (i.e., results were correct).

If a randomly sampled individual from this population tests positive on the rapid test for COVID-19, what is the probability that he/she actually has COVID-19? If a randomly sampled individual from this population tests negative on the rapid test for COVID-19, what is the probability that he/she does not have COVID-19?

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