### Analysis of Poll on Global Warming OpinionsA 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 Analysis1. **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.)

A poll regarding global warming is conducted.It is needed to check the claim that whether the sex of the respondent is independent of the choice for the cause of global warming. The null hypothesis and alternative hypotheses are: H0: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. A chi-squared test of independence can be used. Consider the below table. Human activity Natural patterns Don’t know Total Male 300 153 45 498 Female 322 176 44 542 Total 622 329 89 1040 The formula for expected frequency for a cell is, There are 2 (= r) rows and 3 (= c) columns, The degrees of freedom is df = (r – 1)(c – 1) = (2 – 1)(3 – 1) = 2. The level of significance is α = 0.05. Using the Excel formula, =CHISQ.INV.RT(0.05,2) or from the chi square table corresponding to the degrees of freedom of 2 and level of significance of 0.05, the critical value is 5.991. The excel output is, Decision rule: If the test statistic is greater than or equal to the critical value of 5.991, reject the null hypothesis. Otherwise, fail to reject the null hypothesis. Conclusion: The test statistic of 0.537 is less than the critical value of 5.991. That is, the test statistic does not lie in the rejection region. Fail to reject H0. Three 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 appear to agree.