SOLUTION: .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
Algebra ->
Probability-and-statistics
-> SOLUTION: .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
Log On
Question 1135877: .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?
Explain:
b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat?
c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?
Incorrect
d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?
e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology?
Explain your reasoning:
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?
Screenshot of problem: https://prnt.sc/msbn06
You can put this solution on YOUR website! a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
No. There are some liberal Democrats that do not believe in global warming. There are also some conservative Republicans that do believe in global warming. b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat?
P(believes in global warming) + P(liberal Democrat) - P(believes in global warming and liberal Democrat) = (0.6) + (0.2) - (0.18) = 0.6200 c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?
0.18/0.2 = 0.9000 d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?
0.11/0.33 = 0.3333 e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? Explain your reasoning.
No. 90% of liberal Democrats believe in global warming whereas only 33% of conservative Republicans do. 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?
0.06/0.34 = 0.1765
