A survey of registered voters was conducted to study the relationship between political party and opinion on global warming. The table below contains data gathered in that study. Global Warming Party Non-issue Serious concern Total Democratic 60 440 500 Republican 290 210 500 Independent 90 110 200 Total 440 760 1200 Suppose one voter is selected at random. What is the probability the voter is Independent or thinks global warming is a serious issue?
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The following contingency table shows opinion about global warming (nonissue vs. serious concern) among registered voters, broken down by political party affiliation (Democratic, Republican, and Independent). Use the table to answer a) through c) below. Opinions on Global Warming Nonissue Serious Concern Total Democratic 60 440 500 Political Party Republican 260 240 500 Independent 110 90 200 Total 430 770 1200 a) What is the probability that a randomly selected registered voter who is a Republican believes that global warming is a serious issue? (Round to three decimal places as needed.)
Joanna Q.
The following contingency table shows opinions about global warming (nonissue vs serious concern) among registered voters broken down by political party affiliation (Democratic, Republican, and Independent). Use the table to answer a) through c) below: Opinions on Global Warming Nonissue Serious Concern Total Democratic 60 440 500 Republican 260 240 500 Independent 80 120 200 Total 400 800 1200 a) What is the probability that a randomly selected registered voter who is Republican believes that global warming is a serious issue? (Round to three decimal places as needed:) b) What is the probability that a randomly selected registered voter is Republican given that he or she believes global warming is a serious issue? (Round to three decimal places as needed:) c) What is P(Serious Concern | Democratic)? (Round to three decimal places as needed:)
Sanchit J.
2.17 Global warming: 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. (please round any numerical answers to 4 decimal places) Earth is warming Not warming Don't know (or refuse) Total Conservative Republican 0.11 0.2 0.02 0.33 Mod/Lib Republican 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 Explain your reasoning: b) What is the probability that a randomly chosen respondent believes the earth is warming or is a conservative Republican? 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 are 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 Explain your reasoning: f) What is the probability that a randomly chosen respondent is a moderate/conservative Democrat given that they do not believe that the earth is warming?
David N.
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