On December 15, 2020, the U.S. Food and Drug Administration approved the first at-home test for COVID-19. It can give results in about 15 minutes. This test has a 3% false positive rate and a 5% false negative rate. (a) Explain what this test's false positive rate and false negative rate mean in context. (b) Which do you think is more serious: a false positive or a false negative result? Justify your answer. Suppose that 5% of the U.S. population is infected with COVID-19 when the test is released, and that we give the test to a randomly selected person from the population. (c) If the person tests positive, what is the probability that they have COVID-19? How does this compare to the result in Ouestion 1(c)? (d) If the person tests negative, what is the probability that they don't have COVID-19?

On December 15, 2020, the U.S. Food and Drug Administration approved the first at-home test for COVID-19. It can give results in about 15 minutes. This test has a 3% false positive rate and a 5% false negative rate. (a) Explain what this test's false positive rate and false negative rate mean in context. (b) Which do you think is more serious: a false positive or a false negative result? Justify your answer. Suppose that 5% of the U.S. population is infected with COVID-19 when the test is released, and that we give the test to a randomly selected person from the population. (c) If the person tests positive, what is the probability that they have COVID-19? How does this compare to the result in Ouestion 1(c)? (d) If the person tests negative, what is the probability that they don't have COVID-19?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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