A 2010 Pew Research poll asked 1,306 Americans \"From what you\'ve read and hear

Question

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) Arc believing that the earth is warming and being a liberal Democrat mutually exclusive? Not mutually exclusive mutually exclusive What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? 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 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?

Explanation / Answer

(a) Are believing that the earth is warming and being a liberal democrat mutually exclusive?

ANS: not mutually exclusive,because 0.18 respondents fall into this combination

(b) what is the probability that a randomly chosen respondent belives the earth is warming or is a liberal democrat?

ANS: (earth is warming or liberal Democrat)

      = P(earth is warming) + P(liberal Democrat) - P(earth is warming and liberal Democrat)

    =0.60 + 0.20 - 0.18

      = 0.62

(c) what is the probability that a randomly chosen respondent belives the earth is warming given that he is a liberal democrat?

ANS: P(earth is warming | liberal Democrat) = 0.18/0.20

                                                                      =0.9

(d) what is the probability that a randomly choosen respondent believes the earth is warming given that he is a conservative republican?

ANS: (earth is warming | conservative Republican) =0.11/0.33

                                                                                =0.3333

(e) Does it appear that whether or not a respondent belives the earth is warming is independent of their part ideology?

ANS:No, the two appear to be dependent. The percentages of conservative Republicans and

liberal Democrats who believe that there is solid evidence that the average temperature on

earth has been getting warmer over the past few decades are very different

(f) what is the probability taht a randomly chosen respondent is a moderate/liberal republician given that he does not believe that the earth is warming?

ANS: (moderate/liberal Republican | not warming) =0.06/0.34

                                                                               =0.1764

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.