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 replaced with relative frequencies. party and ideology, where the counts have been Earth is warming Not warming Don't know (or refuse) Total 0.33 Conservative Republican Mod/Lib Republican Mod/Cons Democrat 0.11 0.2 0.02 0.06 0.06 0.01 0.13 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?

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Please answer D, E, and F. 

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, with relative frequencies.

|                              | 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     |

### Questions and Answers

**a) Are believing that the earth is warming and being a liberal Democrat 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?**

- **Answer:** 0.6200 ✔️

**c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?**

- **Answer:** 0.9000 ✔️

**d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?**

- **Answer:** (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

**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?**

- **Answer:** (Please round to four decimal places)

This table and these questions explore the relationship between political ideology and belief in global warming based on data from the 2010
Transcribed Image Text: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, with relative frequencies. | | 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 | ### Questions and Answers **a) Are believing that the earth is warming and being a liberal Democrat 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?** - **Answer:** 0.6200 ✔️ **c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat?** - **Answer:** 0.9000 ✔️ **d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican?** - **Answer:** (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 **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?** - **Answer:** (Please round to four decimal places) This table and these questions explore the relationship between political ideology and belief in global warming based on data from the 2010
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