2.17 Global warming: A research poll asked 1490 Americans \"From what you\'ve re

Question

2.17 Global warming: A research poll asked 1490 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.

2.17 Global warming: A research poll asked 1490 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 Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democra Total Earth is warming Not warming |Don't know (or refuse)Total 0.28 0.16 0.17 0.39 0.09 0.11 0.13 0.31 0.64 0.17 0.03 0.02 0.02 0.24 0.02 0.02 0.02 0.06 0.12 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? mutually exclusive O not mutually exclusive b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that they are a liberal emocrat? d) What is the probability that a randomly chosen respondent believes the earth is warming given that they are a conservative Republican? e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? (please round to four decimal places) (please round to four decimal places) belief in global warming and party ideology are independent belief in global warming and party ideology are dependent f) What is the probability that a randomly chosen respondent is a moderate/liberal Republican given that they do not believe that the earth is warming? (please round to four decimal places)

Explanation / Answer

a)not mutually exclusive (as probability is not 0)

b)

P(earth warming or liberal democrat)=0.64+0.39-0.31=0.72

c)

P(earth warming| liberal democrat) =0.31/0.39=0.7949

d)

P(earth warming| Conservative republican) =0.09/0.28=0.3214

e)

belief in global warming and party ideology are dependent.

f)

P(moderate/liberal Republican|earth not warming)=0.03/0.24 =0.1250

( please try 0.1389 if above comes wrong and revert)

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