A 2010 Pew Research poll asked 1,306 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 replaced with relative frequencies. party and ideology, where the counts have been Earth is warming Not warming Don't know (or refuse) Total 0.33 Conservative Republican Mod/Lib Republican Mod/Cons Democrat 0.11 0.2 0.02 0.06 0.06 0.01 0.13 0.25 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?

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Please answer D, E, and F. 

A 2010 Pew Research poll asked 1,306 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 (or refuse)
Total
Conservative Republican
Mod/Lib Republican
0.11
0.2
0.02
0.33
0.06
0.06
0.01
0.13
0.07
0.01
Mod/Cons Democrat
0.25
0.02
0.34
Liberal Democrat
0.18
0.01
0.2
Total
0.6
0.34
0.06
1
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
mutually exclusive
not mutually exclusive
b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal
Democrat? 0.6200
(please round to four decimal places)
c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is
a liberal Democrat? 0.9000 v (please round to four decimal places)
d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is
a conservative Republican?
(please round to four decimal places)
e) Does it appear that whether or not a respondent believes the earth is warming is independent of their
party ideology?
O belief in global warming and party ideology are independent
O 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
he does not believe that the earth is warming?
(please round to four decimal places)
Transcribed Image Text:A 2010 Pew Research poll asked 1,306 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 (or refuse) Total Conservative Republican Mod/Lib Republican 0.11 0.2 0.02 0.33 0.06 0.06 0.01 0.13 0.07 0.01 Mod/Cons Democrat 0.25 0.02 0.34 Liberal Democrat 0.18 0.01 0.2 Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? mutually exclusive not mutually exclusive b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? 0.6200 (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? 0.9000 v (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? (please round to four decimal places) e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? O belief in global warming and party ideology are independent O 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 he does not believe that the earth is warming? (please round to four decimal places)
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