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4. Predictive 5. Predictive 6. Likelihood 7. Likelihood ratio negative 8. Overall accuracy. value positive value negative ratio positive

4. Predictive 5. Predictive 6. Likelihood 7. Likelihood ratio negative 8. Overall accuracy. value positive value negative ratio positive

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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I need assistance with qs 4,5,6,7,8
A screening test for a newly discovered disease is being evaluated. To determine the effectiveness of the new test, it was administered to 880 workers, and 120 of the individuals diagnosed with the disease tested positive. A negative test finding occurred in 50 people who had the disease. A total of 40 persons not diseased tested positive for it. Construct a 2 x 2 table similar to Table 12-1 and calculate the following: 1. Prevalence of the disease 2. Sensitivity 3. Specificity 4. Predictive value positive 5. Predictive value negative 6. Likelihood ratio positive 7. Likelihood ratio negative 8. Overall accuracy.
Transcribed Image Text:A screening test for a newly discovered disease is being evaluated. To determine the effectiveness of the new test, it was administered to 880 workers, and 120 of the individuals diagnosed with the disease tested positive. A negative test finding occurred in 50 people who had the disease. A total of 40 persons not diseased tested positive for it. Construct a 2 x 2 table similar to Table 12-1 and calculate the following: 1. Prevalence of the disease 2. Sensitivity 3. Specificity 4. Predictive value positive 5. Predictive value negative 6. Likelihood ratio positive 7. Likelihood ratio negative 8. Overall accuracy.
Disease No disease Total Positive 120 40 a.) Prevalence of disease p= n (disease)/n (total) =170/880 = 0.1932 b.) Sensitivity 0.7059 120+40=160 c.) Specificity Specificity= = 670/670 + 40 = 0.9437 Negative 50 Sensitivity = True positive / True positive + False negative = 120/120+ 50 710-50-670 50+670=720 Total = True negative / True negative + False positive 120+50=170 880-170-710 160+720 880
Transcribed Image Text:Disease No disease Total Positive 120 40 a.) Prevalence of disease p= n (disease)/n (total) =170/880 = 0.1932 b.) Sensitivity 0.7059 120+40=160 c.) Specificity Specificity= = 670/670 + 40 = 0.9437 Negative 50 Sensitivity = True positive / True positive + False negative = 120/120+ 50 710-50-670 50+670=720 Total = True negative / True negative + False positive 120+50=170 880-170-710 160+720 880
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