Could it be that smoking actually increases survival rates among​ women? The accompanying data represent the​ 20-year survival status and smoking status of 1334 women who participated in a​ 20-year cohort study. Complete parts​ (a) through​ (e).

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.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
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Could it be that smoking actually increases survival rates among​ women? The accompanying data represent the​ 20-year survival status and smoking status of

1334 women who participated in a​ 20-year cohort study. Complete parts​ (a) through​ (e).
0.95 of 1
Data table
Smoking Status
Smoker (S)
Nonsmoker (NS)
Dead
144
237
Alive
443
510
te
Age Group
18-24
25-34
35-44
45-54
55-64
65-74
75 or
older
S NS| S
Dead 3 2
Alive 53 63 121 152 95 118 103 68
S NS
29 102 15 66
0 0
NS
NS
NS
NS
NS
4
6
14
8
28
13 51 40
64
81
7
28
Print
Done
Transcribed Image Text:0.95 of 1 Data table Smoking Status Smoker (S) Nonsmoker (NS) Dead 144 237 Alive 443 510 te Age Group 18-24 25-34 35-44 45-54 55-64 65-74 75 or older S NS| S Dead 3 2 Alive 53 63 121 152 95 118 103 68 S NS 29 102 15 66 0 0 NS NS NS NS NS 4 6 14 8 28 13 51 40 64 81 7 28 Print Done
(a) What proportion of the smokers were dead after 20 years? What proportion of the nonsmokers were dead after 20 years?
What does this imply about the health consequences of smoking?
The proportion of the smokers who were dead after 20 years is
(Round to three decimal places as needed)
The proportion of the nonsmokers who were dead after 20 years is
(Round to three decimal places as needed)
What does this imply about the health consequences of smoking?
O This implies that it is healthier to smoke.
This implies that it is healthier not to smoke.
(b) The data in the first table do not take into account a variable that is strongly related to survival status, age. The data
shown in the second accompanying table give the survival status of women and their age at the beginning of the study. For
example, 14 women who were 35 to 44 at the beginning of the study were smokers and dead after 20 years.
Determine the proportion of 18- to 24-year-old smokers who were dead after 20 years.
The proportion of 18- to 24-year-old smokers who were dead after 20 years isD
(Round to three decimal places as needed)
Determine the proportion of 18- to 24-year-old nonsmokers who were dead after 20 years.
The proportion of 18- to 24-year-old nonsmokers who were dead after 20 years is O
(Round to three decimal places as needed.)
(c) Repeat part (b) for the remaining age groups to create a conditional distribution of survival status by smoking status for
each age group.
Age Group
55-64
18-24 25-34
35-44
45-54
65-74
75 or older
Smoker
Nonsmoker
(Round to three decimal places as needed.)
(d) Draw a bar graph of the conditional distribution from part (c). Let the blue (left) bars represent smokers and let the red
(right) bars represent nonsmokers. Choose the correct graph below.
O A.
В.
OC.
0.8-
0.6-
1
0.8-
0.6-
17
0.6-
0.6
0.4
0.2
0.4-
0.4-
02-
0.2
25-34
454
05-74
454
65-74
45-4
65-74
(e) State the appropriate conclusion. Choose the correct answer below.
O A. In almost all age groups, smokers had a higher death rate than nonsmokers.
O B. There is no difference between smokers and nonsmokers.
O C. In all age groups, smokers had a lower death rate than nonsmokers.
OD. In almost all age groups, smokers had a lower death rate than nonsmokers.
Relative Frequency
Transcribed Image Text:(a) What proportion of the smokers were dead after 20 years? What proportion of the nonsmokers were dead after 20 years? What does this imply about the health consequences of smoking? The proportion of the smokers who were dead after 20 years is (Round to three decimal places as needed) The proportion of the nonsmokers who were dead after 20 years is (Round to three decimal places as needed) What does this imply about the health consequences of smoking? O This implies that it is healthier to smoke. This implies that it is healthier not to smoke. (b) The data in the first table do not take into account a variable that is strongly related to survival status, age. The data shown in the second accompanying table give the survival status of women and their age at the beginning of the study. For example, 14 women who were 35 to 44 at the beginning of the study were smokers and dead after 20 years. Determine the proportion of 18- to 24-year-old smokers who were dead after 20 years. The proportion of 18- to 24-year-old smokers who were dead after 20 years isD (Round to three decimal places as needed) Determine the proportion of 18- to 24-year-old nonsmokers who were dead after 20 years. The proportion of 18- to 24-year-old nonsmokers who were dead after 20 years is O (Round to three decimal places as needed.) (c) Repeat part (b) for the remaining age groups to create a conditional distribution of survival status by smoking status for each age group. Age Group 55-64 18-24 25-34 35-44 45-54 65-74 75 or older Smoker Nonsmoker (Round to three decimal places as needed.) (d) Draw a bar graph of the conditional distribution from part (c). Let the blue (left) bars represent smokers and let the red (right) bars represent nonsmokers. Choose the correct graph below. O A. В. OC. 0.8- 0.6- 1 0.8- 0.6- 17 0.6- 0.6 0.4 0.2 0.4- 0.4- 02- 0.2 25-34 454 05-74 454 65-74 45-4 65-74 (e) State the appropriate conclusion. Choose the correct answer below. O A. In almost all age groups, smokers had a higher death rate than nonsmokers. O B. There is no difference between smokers and nonsmokers. O C. In all age groups, smokers had a lower death rate than nonsmokers. OD. In almost all age groups, smokers had a lower death rate than nonsmokers. Relative Frequency
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The accompanying data represent the​ 20-year survival status and smoking status of

1334 women who participated in a​ 20-year cohort study.
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