In a survey of 2933 adults in a nation, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table available below shows the results of the survey. For each activity, we define a success finding an individual who participates in the hazardous activity. Complete parts (a) and (b) below. E Click the icon to view the survey results. (a) Why is this a dependent sample? A. This is a dependent sample because the two variables are measured on the same individual. O B. This is a dependent sample because the two responses for each question are mutually exclusive. O C. This is a dependent sample because the two variables are not mutually exclusive. O D. This is a dependent sample because the values in the table depend on the responses to the question. there a significant difference between the proportion of individuals who engage i (b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals who do not wear hazardous activities? Use the a= 0.05 level of significance. seat belt? In other words, Let p, represent the proportion who smoke and p2 represent the proportion who do not wear seat belt. What are the null and alternative hypotheses? O A. Ho: P1 =P2 H: P1 P2 Contingency Table of the Survey Results c. Họ: P1 =P2 H: P1 P2 No Seat Belt (success) Seat Belt (failure) Calculate the test statistic. Smoke (success) Do Not Smoke (failure) 63 352 X6 = (Round to two decimal places as needed.) 322 2196

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In a survey of 2933 adults in a nation, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table available below shows the results of the survey. For each activity, we define a success as
finding an individual who participates in the hazardous activity. Complete parts (a) and (b) below.
Click the icon to view the survey results.
(a) Why is this a dependent sample?
A. This is a dependent sample because the two variables are measured on the same individual.
B. This is a dependent sample because the two responses for each question are mutually exclusive.
C. This is a dependent sample because the two variables are not mutually exclusive.
D. This is a dependent sample because the values in the table depend on the responses to the question.
(b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals who do not wear a seat belt? In other words, is there a significant difference between the proportion of individuals who engage in
hazardous activities? Use the a = 0.05 level of significance.
Let p, represent the proportion who smoke and p2 represent the proportion who do not wear a seat belt. What are the null and alternative hypotheses?
A. Ho: P1 = P2
H1: P1 > P2
Contingency Table of the Survey Results
C. Ho: P1 = P2
H1: P1 #P2
No Seat Belt
Seat Belt
Calculate the test statistic.
(success)
(failure)
Smoke (success)
Do Not Smoke (failure)
63
352
(Round to two decimal places as needed.)
322
2196
%D
Transcribed Image Text:In a survey of 2933 adults in a nation, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table available below shows the results of the survey. For each activity, we define a success as finding an individual who participates in the hazardous activity. Complete parts (a) and (b) below. Click the icon to view the survey results. (a) Why is this a dependent sample? A. This is a dependent sample because the two variables are measured on the same individual. B. This is a dependent sample because the two responses for each question are mutually exclusive. C. This is a dependent sample because the two variables are not mutually exclusive. D. This is a dependent sample because the values in the table depend on the responses to the question. (b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals who do not wear a seat belt? In other words, is there a significant difference between the proportion of individuals who engage in hazardous activities? Use the a = 0.05 level of significance. Let p, represent the proportion who smoke and p2 represent the proportion who do not wear a seat belt. What are the null and alternative hypotheses? A. Ho: P1 = P2 H1: P1 > P2 Contingency Table of the Survey Results C. Ho: P1 = P2 H1: P1 #P2 No Seat Belt Seat Belt Calculate the test statistic. (success) (failure) Smoke (success) Do Not Smoke (failure) 63 352 (Round to two decimal places as needed.) 322 2196 %D
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