2.17 Global warming: A research poll asked 1297 Americans "From what you've read and heard, is there solidevidence 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 beenreplaced with relative frequencies.Earth is warming Not warmingDon't know (or refuse) TotalConservative RepublicanMod/Lib Republican0.090.120.050.260.090.020.090.20Mod/Cons Democrat0.140.020.080.24Liberal Democrat0.180.030.090.30Total0.50.190.311a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?Omutually exclusivenot mutually exclusiveb) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberalDemocrat?c) What is the probability that a randomly chosen respondent believes the earth is warming given that theyare a liberal Democrat?(please round to four decimal places)|(please round to four decimal places)d) What is the probability that a randomly chosen respondent believes the earth is warming given that theyare 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 partyideology?) belief in global warming and party ideology are independentbelief in global warming and party ideology are dependentf) What is the probability that a randomly chosen respondent is a moderate/liberal Republican given that they(please round to four decimal places)do not believe that the earth is warming?O O

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2.17 Global warming: A research poll asked 1297 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 0.09 0.12 0.05 0.26 0.09 0.02 0.09 0.20 Mod/Cons Democrat 0.14 0.02 0.08 0.24 Liberal Democrat 0.18 0.03 0.09 0.30 Total 0.5 0.19 0.31 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? d) What is the probability that a randomly chosen respondent believes the earth is warming given that they (please round to four decimal places) 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 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 |(please round to four decimal places) do not believe that the earth is warming?

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT