need help with part D
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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need help with part D
Transcribed Image Text: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 = 0.01 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: Select an answer Select an answer Select an answer
H₁: Select an answer
(please enter a decimal)
Select an answer Select an answer (Please enter a decimal)
c. The test statistic
d. The p-value =
e. The p-value is ? ♥ α
f. Based on this, we should [Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
O 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.
O 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.
O 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.
O The results are statistically insignificant at a = 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 Information
Sample sizes n1=594 ,n2=506
Favorable cases x1=363 ,x2=325
Significance level (α) = 0.01
Now,
p̂1 = x1/n1 = 363/594 = 0.6111
p̂2 = x2/n2 = 325/506 = 0.6423
Now,
The value of the pooled proportion is
p̄ =(x1+x2)/(n1 + n2)
= (363 + 325)/(594+ 506) =0.6255
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