2.17 Global warming: A research poll asked 1586 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. Don't know (or refuse) Earth is Not Total warming warming Conservative 0.06 0.13 0.04 0.23 Republican Mod/Lib Republican 0.09 0.02 0.10 0.21 Mod/Cons Democrat 0.11 0.02 0.07 0.20 Liberal Democrat 0.27 0.01 0.08 0.36 Total 0.53 0.18 0.29 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O mutually exclusive O 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? 0.42857143 (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? 0.4699 (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? O belief in global warming and party ideology are independent O 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 they do not believe that the earth is warming? x (please round to four decimal places)

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B-E and F please right Answer B-  just so it's easy to read please

**2.17 Global warming**: A research poll surveyed 1586 Americans asking, "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.

|                                 | Earth is warming | Not warming | Don't know (or refuse) | Total |
|---------------------------------|------------------|-------------|------------------------|-------|
| Conservative Republican         | 0.06             | 0.13        | 0.04                   | 0.23  |
| Mod/Lib Republican              | 0.09             | 0.02        | 0.10                   | 0.21  |
| Mod/Cons Democrat               | 0.11             | 0.02        | 0.07                   | 0.20  |
| Liberal Democrat                | 0.27             | 0.01        | 0.08                   | 0.36  |
| Total                           | 0.53             | 0.18        | 0.29                   | 1     |

**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?**
- (Please calculate and 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?**
- 0.4286 (rounded 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?**
- 0.4699 (rounded 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 they do not believe that the earth is warming?**
- (Please calculate and round to four decimal places) 

**Note:** The questions and probabilities are based on the data provided in the relative frequency table. The probabilities for sections b and f need to be calculated using
Transcribed Image Text:**2.17 Global warming**: A research poll surveyed 1586 Americans asking, "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. | | Earth is warming | Not warming | Don't know (or refuse) | Total | |---------------------------------|------------------|-------------|------------------------|-------| | Conservative Republican | 0.06 | 0.13 | 0.04 | 0.23 | | Mod/Lib Republican | 0.09 | 0.02 | 0.10 | 0.21 | | Mod/Cons Democrat | 0.11 | 0.02 | 0.07 | 0.20 | | Liberal Democrat | 0.27 | 0.01 | 0.08 | 0.36 | | Total | 0.53 | 0.18 | 0.29 | 1 | **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?** - (Please calculate and 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?** - 0.4286 (rounded 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?** - 0.4699 (rounded 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 they do not believe that the earth is warming?** - (Please calculate and round to four decimal places) **Note:** The questions and probabilities are based on the data provided in the relative frequency table. The probabilities for sections b and f need to be calculated using
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