Question

a pollster conducting a telephone poll of a citys residents asked two questions:

1. do you currently smoke cigarettes?
2. regardless of your answer to question 1, would you support a ban on smoking in all city parks?

use the poll to complete parts (a) through (d).
b. using the venn diagram constructed in part (a), as shown to the right,
which region(s) represents/represent smokers? choose the correct region(s)
below.
a. i
b. ii
c. i and ii
d. iii and iv
c. using the venn diagram constructed in part (a), as shown to the right,
which region(s) represents/represent smokers polled who do not support the ban?
choose the correct region(s) below.
a. ii
b. iii and iv
c. i
d. i and ii
d. using the venn diagram constructed in part (a), as shown to the right,
which region(s) represents/represent smokers polled who support the ban? choose
the correct region(s) below.
a. iii and iv
b. i and ii
c. ii
d. i

Explanation:

Part b

• Understanding Venn Diagram for Smokers:
• The left - hand circle in the Venn diagram is labeled "smokers".
• Region I is the part of the "smokers" circle that does not overlap with the "support ban" circle, and region II is the overlapping part (smokers who also support the ban).
• So, all smokers are represented by region I (non - supporting smokers) and region II (supporting smokers).

Part c

• Finding Smokers Who Do Not Support the Ban:
• We want only the part of the "smokers" circle that is not in the "support ban" circle.
• Region I is the non - overlapping part of the "smokers" circle.

Part d

• Finding Smokers Who Support the Ban:
• We want the overlapping part of the "smokers" and "support ban" circles.
• Region II is the intersection of the "smokers" and "support ban" circles.

Answer:

• b. C. I and II
• c. C. I
• d. C. II