C AND D ONLY ### Investigating the Difference in Proportions of Wildfires Caused by Humans in the South and West**Research Question**: Is the proportion of wildfires caused by humans in the South different from the proportion of wildfires caused by humans in the West?**Data Collected**:- In the South: 372 out of 526 randomly selected wildfires were caused by humans.- In the West: 397 out of 526 randomly selected wildfires were caused by humans.**Significance Level**: \(\alpha = 0.05\)#### a. Statistical Test Selection**To determine if there is a difference in the proportions, we will use**:- **z-test for the difference between two population proportions**#### b. Null and Alternative Hypotheses**The hypotheses are defined as follows:**- **Null Hypothesis (\(H_0\))**:\[ H_0 : p_1 = p_2 \]Where \(p_1\) is the proportion of wildfires caused by humans in the South, and \(p_2\) is the proportion of wildfires caused by humans in the West.- **Alternative Hypothesis (\(H_1\))**:\[ H_1 : p_1 \neq p_2 \]#### c. Test Statistic Calculation**The test statistic (\(z\)) is calculated as follows**:\[ z = \](Please show your answer to 3 decimal places)#### d. p-Value**The p-value is**:\[ \text{p-value} = \](Please show your answer to 3 decimal places)**Conclusion**:Based on the calculated p-value and the significance level, we can determine whether to reject the null hypothesis \(H_0\) and conclude if there is a statistically significant difference in the proportions of wildfires caused by humans in the South and West.---**Explanation of Interactive Components**:- **Blank Input Fields**: These fields are for students or users to input the required values and calculations based on their understanding.- **Check Marks (✔)**: Indicate steps that need to be completed.- **Highlighted Sections**: Provide guidance on where users need to focus or input their answers.This educational content helps users practice applying statistical tests to real-world scenarios and enhance their data analysis skills.

Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 372 of the 526 randomly selected wildfires looked at in the south were caused by humans while 397 of the 526 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the α = 0.05 level of significance? a. For this study, we should use z-test for the difference between two population proportio b. The null and alternative hypotheses would be: Ho: p1 p2 (please enter a decimal)