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*3.69 What is the sensitivity of the test for moderate-smoking students (students who smoke 15-44 cigarettes per week)? *3 70 What in th

*3.69 What is the sensitivity of the test for moderate-smoking students (students who smoke 15-44 cigarettes per week)? *3 70 What in th

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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Please only answer 3.69
al. [11]). The lowest detection limit for dried blood spot coti- nine was 3.1 ng/mL. The data in Table 3.9 were presented relating dried blood spot cotinine determinations to umbilical cord blood cotinine determinations. Suppose a cutoff of 25 ng/mL is proposed as a criterion for testing positive based on dried blood spot cotinine levels. 3.64 What is the sensitivity using this cut-point? 3.65 What is the specificity using this cut-point? Suppose it is estimated based on a large sample of births in California that 20% of mothers smoke at the time of delivery. Suppose the screening test for detecting whether a mother smokes at the time of pregnancy is based on a cutoff of 25 ng/mL using dried blood specimens from the newborn. TABLE 3.9 Cotinine Level in Dried Blood (ng/mL) <3.1 3.1 4 567800 Maternal Active Smoking = yes 2 0 0 0 2 1 1 Maternal Active Smoking = no TABLE 3.10 Relationship between SCN levels and self-reported cigarettes smoked per week 326 2 2 1 1 0 1 Self-reported cigarettes smoked in past week None 1-4 5-14 Distribution of Cotinine Level in Dried Blood Spots from Newborns by Maternal Active Smoking Status* close to the time of delivery among 428 babies delivered in California, 2001-2003 15-24 25-44 45+ Cotinine Level in Dried Blood (ng/mL) 9 10 11 12 13 ≥14 Total Source: Based on the American Journal of Public Health, 71(12), 1320, 1981. Number of students 1 1163 70 30 Maternal Active Smoking = yes 232185 76 91 27 19 23 *Maternal active smoking at the time of delivery was defined as cord blood levels of 210 ng/mL. Percent with SCN100 µg/mL Maternal Active Smoking = no 3 0 0 0 1 0 337 3.3 4.3 6.7 29.6 36.8 65.2
Transcribed Image Text:al. [11]). The lowest detection limit for dried blood spot coti- nine was 3.1 ng/mL. The data in Table 3.9 were presented relating dried blood spot cotinine determinations to umbilical cord blood cotinine determinations. Suppose a cutoff of 25 ng/mL is proposed as a criterion for testing positive based on dried blood spot cotinine levels. 3.64 What is the sensitivity using this cut-point? 3.65 What is the specificity using this cut-point? Suppose it is estimated based on a large sample of births in California that 20% of mothers smoke at the time of delivery. Suppose the screening test for detecting whether a mother smokes at the time of pregnancy is based on a cutoff of 25 ng/mL using dried blood specimens from the newborn. TABLE 3.9 Cotinine Level in Dried Blood (ng/mL) <3.1 3.1 4 567800 Maternal Active Smoking = yes 2 0 0 0 2 1 1 Maternal Active Smoking = no TABLE 3.10 Relationship between SCN levels and self-reported cigarettes smoked per week 326 2 2 1 1 0 1 Self-reported cigarettes smoked in past week None 1-4 5-14 Distribution of Cotinine Level in Dried Blood Spots from Newborns by Maternal Active Smoking Status* close to the time of delivery among 428 babies delivered in California, 2001-2003 15-24 25-44 45+ Cotinine Level in Dried Blood (ng/mL) 9 10 11 12 13 ≥14 Total Source: Based on the American Journal of Public Health, 71(12), 1320, 1981. Number of students 1 1163 70 30 Maternal Active Smoking = yes 232185 76 91 27 19 23 *Maternal active smoking at the time of delivery was defined as cord blood levels of 210 ng/mL. Percent with SCN100 µg/mL Maternal Active Smoking = no 3 0 0 0 1 0 337 3.3 4.3 6.7 29.6 36.8 65.2
Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level 2 100 µg/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week. *3.68 What is the sensitivity of the test for light-smoking students (students who smoke ≤ 14 cigarettes per week)? *3.69 What is the sensitivity of the test for moderate-smoking students (students who smoke 15-44 cigarettes per week)? *3.70 What is the sensitivity of the test for heavy-smoking students (students who smoke ≥ 45 cigarettes per week)? *3.71 What is the specificity of the test? *3.72 What is the PV of the test?
Transcribed Image Text:Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level 2 100 µg/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week. *3.68 What is the sensitivity of the test for light-smoking students (students who smoke ≤ 14 cigarettes per week)? *3.69 What is the sensitivity of the test for moderate-smoking students (students who smoke 15-44 cigarettes per week)? *3.70 What is the sensitivity of the test for heavy-smoking students (students who smoke ≥ 45 cigarettes per week)? *3.71 What is the specificity of the test? *3.72 What is the PV of the test?
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