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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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In a 2010 Pew Research poll, 1,306 Americans were asked, "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 responses are categorized by political affiliation and ideology, with results presented as relative frequencies. **Table Summary:** | Party/Ideology | Earth is warming | Not warming | Don't know (or refuse) | Total | |-------------------------|------------------|-------------|------------------------|-------| | Conservative Republican | 0.11 | 0.20 | 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 | 0.20 | | Total | 0.60 | 0.34 | 0.06 | 1 | **Explanation of Table:** - **Conservative Republican:** 11% believe Earth is warming, 20% do not, and 2% are unsure or refuse to answer. - **Moderate/Liberal Republican:** 6% believe Earth is warming, 6% do not, and 1% are unsure or refuse to answer. - **Moderate/Conservative Democrat:** 25% believe Earth is warming, 7% do not, and 2% are unsure or refuse to answer. - **Liberal Democrat:** 18% believe Earth is warming, 1% do not, and 1% are unsure or refuse to answer. - **Overall:** 60% of respondents believe Earth is warming, 34% do not, and 6% are unsure or refuse to answer.
Transcribed Image Text:In a 2010 Pew Research poll, 1,306 Americans were asked, "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 responses are categorized by political affiliation and ideology, with results presented as relative frequencies. **Table Summary:** | Party/Ideology | Earth is warming | Not warming | Don't know (or refuse) | Total | |-------------------------|------------------|-------------|------------------------|-------| | Conservative Republican | 0.11 | 0.20 | 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 | 0.20 | | Total | 0.60 | 0.34 | 0.06 | 1 | **Explanation of Table:** - **Conservative Republican:** 11% believe Earth is warming, 20% do not, and 2% are unsure or refuse to answer. - **Moderate/Liberal Republican:** 6% believe Earth is warming, 6% do not, and 1% are unsure or refuse to answer. - **Moderate/Conservative Democrat:** 25% believe Earth is warming, 7% do not, and 2% are unsure or refuse to answer. - **Liberal Democrat:** 18% believe Earth is warming, 1% do not, and 1% are unsure or refuse to answer. - **Overall:** 60% of respondents believe Earth is warming, 34% do not, and 6% are unsure or refuse to answer.
**Question:** d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? ________ (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 independent - ◯ 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? ________ (please round to four decimal places)
Transcribed Image Text:**Question:** d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? ________ (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 independent - ◯ 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? ________ (please round to four decimal places)
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