For the use of a test for a certain disease, the sensitivity is 0.95, the specificity is 0.95, and the prevalence is 0.004. a. Given that a test is positive, find the probability that a random patient has the disease. b. Draw a tree diagram for a typical sample of 1000 patients. c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower. a. The probability is approximately. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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For the use of a test for a certain disease, the sensitivity is 0.95, the specificity is 0.95, and the prevalence is 0.004.
a. Given that a test is positive, find the probability that a random patient has the disease.
b. Draw a tree diagram for a typical sample of 1000 patients.
c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower.
a. The probability is approximately.
(Round to four decimal places as needed.)
***
Transcribed Image Text:For the use of a test for a certain disease, the sensitivity is 0.95, the specificity is 0.95, and the prevalence is 0.004. a. Given that a test is positive, find the probability that a random patient has the disease. b. Draw a tree diagram for a typical sample of 1000 patients. c. Of the cases that are positive, explain why the proportion in error is larger if the prevalence is lower. a. The probability is approximately. (Round to four decimal places as needed.) ***
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