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 Don't know (or refuse) Total Not warming Conservative Republican Mod/Lib Republican 0.11 0.2 0.02 0.33 0.06 0.06 0.01 0.13 0.25 Mod/Cons Democrat 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 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) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is (please round to four decimal places) Democrat? a liberal Democrat? d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is (please round to four decimal places) a conservative Republican? 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 dependent belief in global warming and party ideology are independent 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)
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 Don't know (or refuse) Total Not warming Conservative Republican Mod/Lib Republican 0.11 0.2 0.02 0.33 0.06 0.06 0.01 0.13 0.25 Mod/Cons Democrat 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 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) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is (please round to four decimal places) Democrat? a liberal Democrat? d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is (please round to four decimal places) a conservative Republican? 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 dependent belief in global warming and party ideology are independent 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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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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
Don't know (or refuse)
Total
Not warming
Conservative Republican
Mod/Lib Republican
0.11
0.2
0.02
0.33
0.06
0.06
0.01
0.13
0.25
Mod/Cons Democrat
0.07
0.02
0.34
Liberal Democrat
0.18
0.01
0.01
0.2
Total
0.6
0.34
0.06
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)
c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is
(please round to four decimal places)
Democrat?
a liberal Democrat?
d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is
(please round to four decimal places)
a conservative Republican?
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 dependent
belief in global warming and party ideology are independent
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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