Also known as a type 2 error, a false negative means that you test negative and you actually have a disease. This is important with a disease that spreads rapidly because of the chances that you could proceed with false confidence and continue to infect friends and loved ones.
Suppose a disease infects 5% of society, and the test has a false negative rate of 20%. For the sake of simplicity we will assume the disease does not produce false positives. If you test negative for the disease what are the chances you have the disease, and should you worry?
Consider the matrix below of 1000 random people that have been tested.
What are the chances
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