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A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.5% and a specificity (ability to correctly identify people who do NOT have strep) of 95%. Has strep throat Does not have strep Totals Patient is given a rapid strep test Result is positive Result is negative totals 100,000 On your own piece of paper, make a copy of the chart. Then fill in the values, assuming that you have a group of 100,000 people, 16% of whom actually have strep throat. (You might hear the value 16% called the base rate.) For a population of patients similar to those described in the stem of this problem, use your chart find the probability that a randomly chosen patient actually has strep throat, given that they have tested positive. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.16

A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.5% and a specificity (ability to correctly identify people who do NOT have strep) of 95%. Has strep throat Does not have strep Totals Patient is given a rapid strep test Result is positive Result is negative totals 100,000 On your own piece of paper, make a copy of the chart. Then fill in the values, assuming that you have a group of 100,000 people, 16% of whom actually have strep throat. (You might hear the value 16% called the base rate.) For a population of patients similar to those described in the stem of this problem, use your chart find the probability that a randomly chosen patient actually has strep throat, given that they have tested positive. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.16

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.5% and a specificity (ability to correctly identify people who do NOT have strep) of 95%. Has strep throat Does not have strep Totals Patient is given a rapid strep test Result is positive Result is negative totals 100,000 On your own piece of paper, make a copy of the chart. Then fill in the values, assuming that you have a group of 100,000 people, 16% of whom actually have strep throat. (You might hear the value 16% called the base rate.)
Transcribed Image Text:A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.5% and a specificity (ability to correctly identify people who do NOT have strep) of 95%. Has strep throat Does not have strep Totals Patient is given a rapid strep test Result is positive Result is negative totals 100,000 On your own piece of paper, make a copy of the chart. Then fill in the values, assuming that you have a group of 100,000 people, 16% of whom actually have strep throat. (You might hear the value 16% called the base rate.)
For a population of patients similar to those described in the stem of this problem, use your chart find the probability that a randomly chosen patient actually has strep throat, given that they have tested positive. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.16
Transcribed Image Text:For a population of patients similar to those described in the stem of this problem, use your chart find the probability that a randomly chosen patient actually has strep throat, given that they have tested positive. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.16
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