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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
Don't
Earth is
Not
know
Total
warming
warming
(or
refuse)
Conservative
0.11
0.2
0.02
0.33
Republican
Mod/Lib
0.06
0.06
0.01
0.13
Republican
Mod/Cons
0.25
0.07
0.02
0.34
Democrat
Liberal
0.18
0.01
0.01
0.2
Democrat
Total
0.6
0.34
0.06
1
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
not mutually exclusive
• 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 he is 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 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?
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 he does not believe that the earth is warming?
Transcribed Image Text:T-Mobile LTE 5:11 PM 34% 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. Don't Earth is Not know Total warming warming (or refuse) Conservative 0.11 0.2 0.02 0.33 Republican Mod/Lib 0.06 0.06 0.01 0.13 Republican Mod/Cons 0.25 0.07 0.02 0.34 Democrat Liberal 0.18 0.01 0.01 0.2 Democrat Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive • 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 he is 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 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? 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 he does not believe that the earth is warming?
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