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In a sample of 5000 people, 2% of the population have COVID. In testing, there is...

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Question

Statistics

In a sample of 5000 people, 2% of the population have COVID. Intesting, there is a false positive rate of 1.6% and a falsenegative rate of 4%.

a. Compile the results in a chart or a tree diagram.

b. In this sample, how many people have COVID?

c. What percent of the population have a positive test forCOVID?

d. What is the probability that a patient has COVID given apositive test?

e. What is the probability that a patient has COVID given anegative test?

f. You have a relative convinced they must have COVID becausetheir test was positive. What would you tell them, based on youranswer to questions #c & d. Be specific.

g. What percent of all people have “accurate tests”?

please show all work and calculations

Answer & Explanation Solved by verified expert
3.9 Ratings (570 Votes)
We would be looking at the first 4 parts here as a We are given here that 5000 of the people are tested 2 have COVID Also as false positive rate is 16 therefore P no COVID 0016 P no COVID 1 0016    See Answer
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