**Transcription of the Educational Content on Climate Change Beliefs and Political Ideology** **Overview** A 2010 Pew Research poll asked 1,306 Americans, "From what you’ve read and heard, is there solid evidence that the earth is warming?” The distribution of responses by party and ideology has been presented below. Frequency counts have been replaced with relative frequencies. **Table: Distribution of Belief in Global Warming by Political Ideology** | | Conservative Republican | Mod/Cons Democrat | Liberal Democrat | Total | |-----------------------|-------------------------|--------------------|------------------|-------| | **Earth is warming** | 0.06 | 0.18 | 0.10 | 0.34 | | **Not warming** | 0.10 | 0.07 | 0.02 | 0.19 | | **Don’t know/refuse** | 0.04 | 0.08 | 0.02 | 0.14 | | **Total** | 0.20 | 0.33 | 0.14 | 0.67 | **Questions and Exercises** *a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?* - Yes - No *b) What is the probability that a randomly chosen respondent believes the earth’s warming?* *Answer:* (place your calculation here) *c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?* *Answer:* (place your calculation here) *d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?* *Answer:* (place your calculation here) *e) Interpret your calculated probabilities in parts c and d. What can you conclude about the relationship between believing in the earth’s warming and party ideology? Are they independent or dependent events?* - 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 moderate/conservative Democrat?* *Answer:* (place your calculation here and interpret in your own context) This exercise aims to help understand how beliefs about global warming are distributed across different political ideologies and educate about concepts such as probability, independence, and dependence in the

I have solved first three parts. (a), (b), (c)

Let event A : be the Earth is warming

     event B :  be the Liberal Democrat

P(A)=0.6

P(B)=0.2

P(A and B)=0.18      

a) The earth is warming and being a liberal Democrat are not mutually exclusive.

$Since P(A and B)= 0.18 \ne 0$