The following table shows the disease status and test status for a population of patients tested for a disease, and the numbers in each combination. Truth Disease No Disease Total Positive test 49 53 102 Negative test 6 392 398 Total 55 445 500 Give a numerical value for each of the following terms. (a) the prevalence of the disease as a percent 11% (b) the proportion of the population that has a positive test 0.2040 (c) the sensitivity of the test (Round your answer to four decimal places.) 0.8909 (d) the specificity of the test (Round your answer to four decimal places.) (e) the predictive positive value of the test (Round your answer to four decimal places.) (f) the predictive negative value of the test (Round your answer to four decimal places.)
The following table shows the disease status and test status for a population of patients tested for a disease, and the numbers in each combination. Truth Disease No Disease Total Positive test 49 53 102 Negative test 6 392 398 Total 55 445 500 Give a numerical value for each of the following terms. (a) the prevalence of the disease as a percent 11% (b) the proportion of the population that has a positive test 0.2040 (c) the sensitivity of the test (Round your answer to four decimal places.) 0.8909 (d) the specificity of the test (Round your answer to four decimal places.) (e) the predictive positive value of the test (Round your answer to four decimal places.) (f) the predictive negative value of the test (Round your answer to four decimal places.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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The following table shows the disease status and test status for a population of patients tested for a disease, and the numbers in each combination.
| Truth | |||
|---|---|---|---|
| Disease | No Disease | Total | |
| Positive test | 49 | 53 | 102 |
| Negative test | 6 | 392 | 398 |
| Total | 55 | 445 | 500 |
Give a numerical value for each of the following terms.
(a)
the prevalence of the disease as a percent
11%
(b)
the proportion of the population that has a positive test
0.2040
(c)
the sensitivity of the test (Round your answer to four decimal places.)
0.8909
(d)
the specificity of the test (Round your answer to four decimal places.)
(e)
the predictive positive value of the test (Round your answer to four decimal places.)
(f)
the predictive negative value of the test (Round your answer to four decimal places.)
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