A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? D Human activity Natural patterns Don't know 45 44 Male Female Click here to view the chi-square distribution table. 300 322 Compute the test statistic. (Round to three decimal places as needed.). Find the critical value(s). 153 176 (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho There Men and women A sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming. to agree. Y

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### Analysis of Poll on Global Warming Opinions

A poll was conducted to investigate opinions about global warming. Respondents who acknowledged solid evidence of global warming were subsequently asked to identify a primary cause. The data table presents the distribution of responses categorized by the respondent's gender. The aim is to test, at a 0.05 significance level, if the gender of respondents is independent of their chosen cause for global warming. The key question is: do men and women have similar views, or is there a notable difference?

#### Data Table

|               | Human Activity | Natural Patterns | Don’t Know |
|---------------|----------------|------------------|------------|
| **Male**      | 300            | 153              | 45         |
| **Female**    | 322            | 176              | 44         |

[Link to the chi-square distribution table]

#### Statistical Analysis

1. **Compute the Test Statistic**  
   - (Round to three decimal places as needed.)

2. **Find the Critical Value(s)**  
   - (Round to three decimal places as needed. Use a comma to separate answers where needed.)

3. **Conclusion Based on Hypothesis Test**  
   - Evaluate the hypothesis \( H_0 \): "There is or is not sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming."

Men and women [dropdown: select "do"/"do not"] appear to agree on the causes of global warming, suggesting or refuting a substantial difference.
Transcribed Image Text:### Analysis of Poll on Global Warming Opinions A poll was conducted to investigate opinions about global warming. Respondents who acknowledged solid evidence of global warming were subsequently asked to identify a primary cause. The data table presents the distribution of responses categorized by the respondent's gender. The aim is to test, at a 0.05 significance level, if the gender of respondents is independent of their chosen cause for global warming. The key question is: do men and women have similar views, or is there a notable difference? #### Data Table | | Human Activity | Natural Patterns | Don’t Know | |---------------|----------------|------------------|------------| | **Male** | 300 | 153 | 45 | | **Female** | 322 | 176 | 44 | [Link to the chi-square distribution table] #### Statistical Analysis 1. **Compute the Test Statistic** - (Round to three decimal places as needed.) 2. **Find the Critical Value(s)** - (Round to three decimal places as needed. Use a comma to separate answers where needed.) 3. **Conclusion Based on Hypothesis Test** - Evaluate the hypothesis \( H_0 \): "There is or is not sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming." Men and women [dropdown: select "do"/"do not"] appear to agree on the causes of global warming, suggesting or refuting a substantial difference.
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference?

|                     | Human activity | Natural patterns | Don't know |
|---------------------|----------------|------------------|------------|
| Male                | 300            | 153              | 45         |
| Female              | 322            | 176              | 44         |

Click here to view the chi-square distribution table.

**Instructions:**

1. **Identify the null and alternative hypotheses:**
   - \( H_0 \): [Choose option] and [Choose option] are [Choose option].
   - \( H_1 \): [Choose option] and [Choose option] are [Choose option].

2. **Compute the test statistic:**
   - (Round to three decimal places as needed.)

3. **Find the critical value(s):**
   - (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? | | Human activity | Natural patterns | Don't know | |---------------------|----------------|------------------|------------| | Male | 300 | 153 | 45 | | Female | 322 | 176 | 44 | Click here to view the chi-square distribution table. **Instructions:** 1. **Identify the null and alternative hypotheses:** - \( H_0 \): [Choose option] and [Choose option] are [Choose option]. - \( H_1 \): [Choose option] and [Choose option] are [Choose option]. 2. **Compute the test statistic:** - (Round to three decimal places as needed.) 3. **Find the critical value(s):** - (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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