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 Mod/Cons Democrat 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? 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 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? O belief in global warming and party ideology are dependent belief in global warming and party ideology are independent

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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having hard time figuring which numbers to use. please do step by step. thnks

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
Mod/Cons Democrat
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?
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 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 dependent
O belief in global warming and party ideology are independent
Transcribed Image Text: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 Mod/Cons Democrat 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? 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 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 dependent O 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)
Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
Transcribed Image Text: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) Enter an integer or decimal number, accurate to at least 4 decimal places [more..]
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