Global Warming#

A Pew Research poll asked 1280 Americans “From what you’ve read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?”. The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies.

Earth is warming

Not warming

Don’t know refuse

Total

Conservative Republican

0.11

0.2

0.02

0.33

Mod/Lib Republican

0.06

0.06

0.01

0.13

Mod/Cons Democrat

0.25

0.05

0.02

0.32

Liberal Democrat

0.19

0.01

0.01

0.21

Total

0.61

0.32

0.06

1.0

Part 1#

Are believing that the earth is warming and being a liberal Democrat mutually exclusive?

Answer Section#

  • Yes

  • No

Part 2#

What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat?

Part 3#

What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?

Part 4#

What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?

Part 5#

Does it appear that whether or not a respondent believes the earth is warming is independent of their party and ideology?

Answer Section#

  • Yes

  • No

Part 6#

What is the probability that a randomly chosen respondent is a moderate/liberal Republican given that he does not believe that the earth is warming?

Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.