2.17 Global warming: A research poll asked 1736 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 0.14 0.03 0.25 0.13 0.03 0.06 0.22 Mod/Cons Democrat 0.17 0.02 0.04 0.23 Liberal Democrat 0.26 0.01 0.03 0.30 Total 0.64 0.2 0.16 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O 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? 0.68 (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? 0.8667 (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 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 they do not believe that the earth is warming? (please round to four decimal places)
2.17 Global warming: A research poll asked 1736 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 0.14 0.03 0.25 0.13 0.03 0.06 0.22 Mod/Cons Democrat 0.17 0.02 0.04 0.23 Liberal Democrat 0.26 0.01 0.03 0.30 Total 0.64 0.2 0.16 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O 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? 0.68 (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? 0.8667 (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 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 they do not believe that the earth is warming? (please round to four decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2.17 Global warming: A research poll asked 1736 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
0.14
0.03
0.25
0.13
0.03
0.06
0.22
Mod/Cons Democrat
0.17
0.02
0.04
0.23
Liberal Democrat
0.26
0.01
0.03
0.30
Total
0.64
0.2
0.16
1
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
O 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? 0.68
(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? 0.8667
(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 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
they do not believe that the earth is warming?
(please round to four decimal
places)
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