According to a Michigan State University researcher, Americans are becoming incr

Question

According to a Michigan State University researcher, Americans are becoming increasingly polarized on issues pertaining to the environment. (http://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.

Construct a contingency table that shows frequencies for the qualitative variables Political Affiliation (Democrat or Republican) and Global Warming (yes or no).

Find the probability that a Republican sees signs of global warming. (Round your answer to 3 decimal places.)

Find the probability that a person does not see signs of global warming. (Round your answer to 3 decimal places.)

If a person sees signs of global warming, what is the probability that this person is a Democrat? (Round your answer to 3 decimal places.)

According to a Michigan State University researcher, Americans are becoming increasingly polarized on issues pertaining to the environment. (http://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.

Explanation / Answer

a)

b) P(a Republican sees signs of global warmin) = 0.29

c) P(a person does not see signs of global warming) = 404/800 = 0.505

d) P( Democrat | a person sees global warming) = P(Democrat and sees global warming)/ P(a person sees global warming)

= 280/396 = 0.707

Global
Warming Political Affiliation       Total    Democrat (D) Republican (R)   Yes (Y) 280 116 396   No (N) 120 284 404   Total 400 400 800

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