2.17 Global warming: A research poll asked 1464 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 Conservative Republican Mod/Lib Republican Not warming Don't know (or refuse) Total 0.21 0.18 0.22 0.08 0.08 0.05 0.07 0.02 0.09 Mod/Cons Democrat 0.15 0.01 0.06 Liberal Democrat 0.24 0.00 0.15 0.39 Total 0.54 0.11 0.35 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 (please round to four decimal places) Democrat? c) What is the probability that a randomly chosen respondent believes the earth is warming given that they are a liberal Democrat? (please round to four decimal places)

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2.17 Global warming: A research poll asked 1464 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
0.08
0.08
0.05
0.21
0.07
0.02
0.09
0.18
Mod/Cons Democrat
0.15
0.01
0.06
0.22
Liberal Democrat
0.24
0.00
0.15
0.39
Total
0.54
0.11
0.35
1
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
O 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?
(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 Democrat?
(please round to four decimal places)
d) What is the probability that a randomly chosen respondent believes the earth is warming given that they
are 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 dependent
belief in global warming and party ideology are independent
f) What is the probability that a randomly chosen respondent is Screenshot eral Republican given that they
(please round to four decimal places)
do not believe that the earth is warming?
Transcribed Image Text:2.17 Global warming: A research poll asked 1464 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 0.08 0.08 0.05 0.21 0.07 0.02 0.09 0.18 Mod/Cons Democrat 0.15 0.01 0.06 0.22 Liberal Democrat 0.24 0.00 0.15 0.39 Total 0.54 0.11 0.35 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O 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? (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 Democrat? (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that they are 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 dependent belief in global warming and party ideology are independent f) What is the probability that a randomly chosen respondent is Screenshot eral Republican given that they (please round to four decimal places) do not believe that the earth is warming?
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