a pollster conducting a telephone poll of a citys residents asked two questions:\n1. do you currently smoke…
a pollster conducting a telephone poll of a citys residents asked two questions:\n1. do you currently smoke cigarettes?\n2. regardless of your answer to question 1, would you support a ban on smoking in all city parks?\nuse the poll to complete parts (a) through (d).\na. construct a venn diagram that allows the respondents to the poll to be identified by whether or not they smoke cigarettes and whether or not they support the ban. choose a reasonable venn diagram below.\n○ a.\n○ b.\n○ c.
Answer
Brief Explanations:
A Venn diagram is used to show the relationships between different sets. In this case, the two main characteristics are "smokers" and "support ban". Some smokers may support the ban (overlap), some may not (only in the smokers circle), and some non - smokers may support the ban (only in the support ban circle). Option A correctly represents two overlapping sets (smokers and support ban) which is appropriate as there can be an intersection (smokers who support the ban). Option B shows two non - overlapping sets which is incorrect because there can be smokers who support the ban. Option C has three sets (smokers, non - smokers, support ban) but the poll only classifies people as smokers or non - smokers (implicitly, since the first question is about current smoking) and then asks about support for the ban. The non - smoker category is just the complement of the smoker category in the universal set of poll respondents, and we don't need a separate non - smoker circle when we already have a smoker circle.
Answer:
A.