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In a survey of 3171 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? O A. This is a dependent sample because the two responses for each question are mutually exclusive. O B. This is a dependent sample because the two variables are measured on the same individual. 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. (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 = 0.10 level of significance. Let p1 represent the proportion who smoke and p2 represent the proportion who do not wear a seat belt. What are the null and alternative hypotheses? O A. Ho: P1 = P2 OB. Ho: P1 # P2 H1 : P1 P2 H1 : P1 = P2 Calculate the test statistic. X'8 =(Round to two decimal places as needed.) Click to select your answer(s).wo responses for each question are mutually exclusive. 0 Contingency Table of the Survey Results No Seat Belt Seat Belt (success) (failure) Smoke (success) 73 459 Do Not Smoke (failure) 344 2295 Print Done Find the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion who smoke is less than the proportion who do not wear a seat belt. O B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion who smoke is greater than the proportion who do not wear a seat belt. O C. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion who smoke and the proportion who do not wear a seat belt are different. O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion who smoke and the proportion who do not wear a seat belt are different
