Global warming: A research poll asked 1518 Americans \"From what you\'ve read an

Question

Global warming: A research poll asked 1518 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. 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 they are 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 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? belief in global warming and party ideology are dependent 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 they do not believe that the earth is warming? (please round to four decimal places)

Explanation / Answer

a)as earth is worming and being a liberal has probability 0.29 in common from table which is not equal to 0.

therefore not mutually exclusive

b)probability =(0.06+0.11+0.12+0.29+0.02+0.05)=0.65

c)probability =0.29/0.36=0.8056

d)probability =0.06/0.25=0.24

e)as in part (c) and (d) probability is different therefore beief that earth is warming is not independent of party idealogy.

hence option belief in global warming and party idealogy are dependent is correct

f)probability =(0.03+0.07)/(0.23+0.19) =0.2381

please revert for any clarification required

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