(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 18-24 25-34 35-44 45-54 55-64 65-74 75 or older BI818 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 0.8- 0.4 0.2 0.4- 0.4- 02- 0.2 2534 454 05-74 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 Froquency

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 28E
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Question
Could it be that smoking actually increases survival rates among​ women? The accompanying data represent the​ 20-year survival status and smoking status of
1339 women who participated in a​ 20-year cohort study. Complete parts​ (a) through​ (e).
 
Data table
of
Smoking Status
Smoker (S)
Nonsmoker (NS)
Dead
144
232
Alive
449
514
Age Group
18-24
25-34
35-44
45-54
55-64
65-74
75 or older
S NS
Dead 2 1
Alive 53 63 121 157
NS
NS
NS S
NS
NS
NS
4
14
12
52
40
30
102 15
7
27
64
95
114
106
68
66
83
29
Print
Done
Transcribed Image Text:Data table of Smoking Status Smoker (S) Nonsmoker (NS) Dead 144 232 Alive 449 514 Age Group 18-24 25-34 35-44 45-54 55-64 65-74 75 or older S NS Dead 2 1 Alive 53 63 121 157 NS NS NS S NS NS NS 4 14 12 52 40 30 102 15 7 27 64 95 114 106 68 66 83 29 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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