Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 363 of the 594 randomly selected wildfires looked at in the south were caused by humans while 325 of the 506 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the x = 0.01 level of significance? a. For this study, we should use [2-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 H₂ 8 8 8 p1 c. The test statistic z d. The p-value= e. The p-value is ✓✓p2 f. Based on this, we should fail to reject (please enter a decimal) -1.065 (please show your answer to 3 decimal places.) (Please enter a decimal) (Please show your answer to 4 decimal places.) the null hypothesis. 8. Thus, the final conclusion is that... The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 594 wildfires that were caused by humans in the south is lower than the proportion of the 506 wildfires that were caused by humans in the west. The results are statistically insignificant at ax = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west.
Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 363 of the 594 randomly selected wildfires looked at in the south were caused by humans while 325 of the 506 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the x = 0.01 level of significance? a. For this study, we should use [2-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: p1 H₂ 8 8 8 p1 c. The test statistic z d. The p-value= e. The p-value is ✓✓p2 f. Based on this, we should fail to reject (please enter a decimal) -1.065 (please show your answer to 3 decimal places.) (Please enter a decimal) (Please show your answer to 4 decimal places.) the null hypothesis. 8. Thus, the final conclusion is that... The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 594 wildfires that were caused by humans in the south is lower than the proportion of the 506 wildfires that were caused by humans in the west. The results are statistically insignificant at ax = 0.01, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Title: Comparing Wildfire Causes in Different Regions**
This study explores whether the proportion of wildfires caused by humans in the southern region is lower than that in the western region. The hypothesis is tested with a significance level of \( \alpha = 0.01 \).
**Research Details:**
- **Sample Data:**
- South: 363 out of 594 wildfires were human-caused.
- West: 325 out of 506 wildfires were human-caused.
**Statistical Test Used:**
- 2-test for the difference between two population proportions.
**Hypotheses:**
- **Null Hypothesis (\( H_0 \)):** \( p_1 = p_2 \)
- \( p_1 \): proportion of human-caused wildfires in the south.
- \( p_2 \): proportion of human-caused wildfires in the west.
- **Alternative Hypothesis (\( H_1 \)):** \( p_1 < p_2 \)
**Analysis:**
- **Test Statistic:** \( z = -1.085 \) (rounded to three decimal places).
- **P-value:** Not provided; requires calculation to determine statistical significance.
- **Decision:**
- Since the exact p-value isn’t shown but it seems the result is based on \( \alpha = 0.01 \).
- Decision made to **fail to reject** the null hypothesis.
**Conclusion:**
- The results are statistically insignificant at \( \alpha = 0.01 \).
- There is **insufficient evidence** to conclude that the population proportion of wildfires caused by humans in the south is lower than in the west.
This information offers insights into regional differences in wildfire causes, crucial for developing targeted fire prevention strategies.
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