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Consider a test to detect a disease (e.g., COVID-19), assuming that 0.6% of the population has it. The test is 97% effective in detecting an

Consider a test to detect a disease (e.g., COVID-19), assuming that 0.6% of the population has it. The test is 97% effective in detecting an infected person. However, the test gives a false-positive result in 1% of cases (meaning that it shows a positive result if the person is not infected). What is the probability that a person gets a negative test result? If a person tests positive for the disease, what is the probability that they actually have COVID? If a person tests negative for the disease, what is the probability that they are infected with COVID?

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