ans while 325 of the 506 randomly selected wildfires looked at the west were caused by humans. What be concluded at the = 0.01 level of significance? . For this study, we should use Select an answer . The null and alternative hypotheses would be: 0: Select an answer Select an answer . The test statistic . The p-value= The p-value is Select an answer Select an answer = Select an answer (please enter a decimal) Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
ans while 325 of the 506 randomly selected wildfires looked at the west were caused by humans. What be concluded at the = 0.01 level of significance? . For this study, we should use Select an answer . The null and alternative hypotheses would be: 0: Select an answer Select an answer . The test statistic . The p-value= The p-value is Select an answer Select an answer = Select an answer (please enter a decimal) Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
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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Question
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![**Problem Statement:**
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 in the west were caused by humans. What can be concluded at the \(\alpha = 0.01\) level of significance?
**Questions and Instructions:**
a. For this study, we should use [Select an answer].
b. The null and alternative hypotheses would be:
- \(H_0:\) [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)
- \(H_1:\) [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)
c. The test statistic \(?\) = _____ (please show your answer to 3 decimal places).
d. The p-value = _____ (please show your answer to 4 decimal places).
e. The p-value is \(?\) \(\alpha\)
f. Based on this, we should [Select an answer] the null hypothesis.
g. Thus, the final conclusion is that …
**Conclusion Options:**
- The results are statistically insignificant at \(\alpha = 0.01\), 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 \(\alpha = 0.01\), 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 \(\alpha = 0.01\), 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 significant at \(\alpha = 0.01\), 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc260e632-e4e2-45c7-853f-2d07e95220d0%2Fbdefb268-efb7-45b9-87c5-81036267fdce%2Fyc1y24ba_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
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 in the west were caused by humans. What can be concluded at the \(\alpha = 0.01\) level of significance?
**Questions and Instructions:**
a. For this study, we should use [Select an answer].
b. The null and alternative hypotheses would be:
- \(H_0:\) [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)
- \(H_1:\) [Select an answer] [Select an answer] [Select an answer] (please enter a decimal)
c. The test statistic \(?\) = _____ (please show your answer to 3 decimal places).
d. The p-value = _____ (please show your answer to 4 decimal places).
e. The p-value is \(?\) \(\alpha\)
f. Based on this, we should [Select an answer] the null hypothesis.
g. Thus, the final conclusion is that …
**Conclusion Options:**
- The results are statistically insignificant at \(\alpha = 0.01\), 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 \(\alpha = 0.01\), 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 \(\alpha = 0.01\), 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 significant at \(\alpha = 0.01\), 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.
Expert Solution
Step 1: Given that
Sample sizes n1=594 ,n2=506
Favorable cases x1=363 ,x2=325
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