10 Pew Research poll asked 1,306 Americans \"From what you\'ve read and heard, i
ID: 3321956 • Letter: 1
Question
10 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average counts have been replaced with relative frequencies. getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democrat Total Earth is warming Not warming Don't know (or refuse) Total 0.33 0.13 0.34 0.2 0.11 0.06 0.25 0.18 0.6 0.2 0.06 0.07 0.01 0.34 0.02 0.01 0.02 0.01 0.06 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusi not mutually exclusive mutually exclusive (please b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? 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 R (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 ideolo gy? belief in global warming and party ideology are independent belief in global warming and party ideology are dependent 0) What warming? is the probability that a randomly chosen respondent is a moderate/liberal Republican given that he does not believe that the earth is (please round to four decimal places) Question 2. Points possible: 1 Unlimited attempts.Explanation / Answer
Solution :
( a ) not mutually exclusive
Believing that the earth is warming and being a liberal democrat are not mutually exclusive
( b )
Probabilty that the respondant believes that the earth is warming or is a liberal democrat
= P( believe , earth is warming ) + P( liberal democrat) - P( believe , earth is warming and liberal democrat)
= 0.6 + 0.2 - 0.18
= 0.62
( c )
Probabilty that the respondant believes that the earth is warming give that he is a liberal democrat
= P( believe , earth is warming and liberal democrat) / P( liberal democrat)
= 0.18 / 0.2
= 0.90'
( d )
Probabilty that the respondant believes that the earth is warming give that he is a conservative republican
= P( believe , earth is warming and liberal democrat) / P( conservative republican )
= 0.11 / 0.33
= 0.3333
( e )
( f )
Probabilty that the respondant is a moderate/liberal republcan give that he does not believes that the earth is warming
= P(moderate/liberal republcan and does not believes that the earth is warming ) / P( does not believes that the earth is warming )
= 0.06/0.34
= 0.1764
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