According to a Michigan State University researcher, Americans are becoming increasingly polarized on issues pertaining to the environment. (news.msu.edu, April 19, 2011). It is reported that 70% of Democrats see signs of global warming as compared to only 29% of Republicans who feel the same. Suppose the survey was based on 400 Democrats and 400 Republicans.
a. Construct a contingency table that shows frequencies for the qualitative variables Political Affiliation (Democrat or Republican) and Global Warming (yes or no).
b. Find the probability that a Republican sees signs of global warming.
c. Find the probability that a person does not see signs of global warming.
d. If a person sees signs of global warming, what is the probability that this person is a Democrat?