Is the proportion of wildfires caused by humans in the south greater than the pr
ID: 2923491 • Letter: I
Question
Is the proportion of wildfires caused by humans in the south greater than the proportion of wildfires caused by humans in the west? 403 of the 481 randomly selected wildfires looked at in the south were caused by humans while 514 of the 640 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.10 level of significance?
H0: Psouth = Pwest Ha: Psouth [ Select ] ["<", ">", "Not Equal to"] Pwest
Test statistic: [ Select ] ["Z", "F", "t", "Chi-square"]
p-Value = [ Select ] ["0.441", "0.147", "0.007", "0.068"] Round your answer to three decimal places.
[ Select ] ["Reject the null hypothesis", "Fail to reject the null hypothesis"]
Conclusion: There is [ Select ] ["insufficient", "sufficient"] evidence to make the conclusion that there is a difference between the proportion of wildfires caused by humans in the south and the proportion of wildfires caused by humans in the west.
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Hence,
Ho: Psouth = Pwest
Ha: Psouth > Pwest
Test statistic = Z
p value = 0.068
Reject the null hypothesis.
Sufficient evidence
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 403 481 514 640 0.034712838 0.023282758 1.4909247 0.068Related Questions
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