In a recent​ poll, 810 adults were asked to identify their favorite seat when they​ fly, and 495 of them chose a window seat. Use a 0.01 significance level to test the claim that the majority of adults prefer window seats when they fly. Identify the null​ hypothesis, alternative​ hypothesis, test statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Which of the following is the hypothesis test to be conducted?   A. H0: p>0.5 H1: p=0.5   B. H0: p≠0.5 H1: p=0.5   C. H0: p=0.5 H1: p>0.5   D. H0: p<0.5 H1: p=0.5   E. H0: p=0.5 H1: p≠0.5   F. H0: p=0.5 H1: p<0.5   What is the test statistic? z= ​(Round to two decimal places as​ needed.)   What is the​ P-value? P-value= ​(Round to four decimal places as​ needed.)     What is the conclusion about the null hypothesis? A. Reject the null hypothesis in favor of the alternative hypothesis because the​ p-value is greater than the significance​ level, α.   B. Reject the null hypothesis in favor of the alternative hypothesis because the​ p-value is less than or equal to the significance​ level, α.   C. Fail to reject the null hypothesis because the​ p-value is greater than the significance​ level, α.   D. Fail to reject the null hypothesis because the​ p-value is less than or equal to the significance​ level, α.   What is the final​ conclusion? A. There is sufficient evidence to support the claim that the majority of adults prefer window seats when they fly.   B. There is not sufficient evidence to support the claim that the majority of adults prefer window seats when they fly.   C. There is sufficient evidence to warrant rejection of the claim that the majority of adults prefer window seats when they fly.   D. There is not sufficient evidence to warrant rejection of the claim that the majority of adults prefer window seats when they fly.   THANK YOU!!!!!!

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a recent​ poll, 810 adults were asked to identify their favorite seat when they​ fly, and 495 of them chose a window seat. Use a 0.01 significance level to test the claim that the majority of adults prefer window seats when they fly. Identify the null​ hypothesis, alternative​ hypothesis, test statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim.
Which of the following is the hypothesis test to be conducted?
 
A.
H0: p>0.5
H1: p=0.5
 
B.
H0: p≠0.5
H1: p=0.5
 
C.
H0: p=0.5
H1: p>0.5
 
D.
H0: p<0.5
H1: p=0.5
 
E.
H0: p=0.5
H1: p≠0.5
 
F.
H0: p=0.5
H1: p<0.5
 
What is the test statistic?
z=
​(Round to two decimal places as​ needed.)
 
What is the​ P-value?
P-value=
​(Round to four decimal places as​ needed.)
 
 
What is the conclusion about the null hypothesis?
A.
Reject the null hypothesis in favor of the alternative hypothesis because the​ p-value is greater than the significance​ level, α.
 
B.
Reject the null hypothesis in favor of the alternative hypothesis because the​ p-value is less than or equal to the significance​ level, α.
 
C.
Fail to reject the null hypothesis because the​ p-value is
greater than the significance​ level, α.
 
D.
Fail to reject the null hypothesis because the​ p-value is
less than or equal to the significance​ level, α.

 
What is the final​ conclusion?
A.
There is sufficient evidence to support the claim that the majority of adults prefer window seats when they fly.
 
B.
There is not sufficient evidence to support the claim that the majority of adults prefer window seats when they fly.
 
C.
There is sufficient evidence to warrant rejection of the claim that the majority of adults prefer window seats when they fly.
 
D.
There is not sufficient evidence to warrant rejection of the claim that the majority of adults prefer window seats when they fly.
 
THANK YOU!!!!!!
Expert Solution
Step 1

Givenn=810p=495p^=xn=495810=0.611p=0.5α=0.01

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