An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among 20,438 ​responses,61​% were​ "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond? Identify the null and alternative hypotheses for this test. Choose the correct answer below.     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 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is   Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is   Identify the conclusion for this hypothesis test.     A. Reject H0. There is sufficient evidence to support the claim that most people believe that the Loch Ness monster exists.   B. Reject H0. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.   C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.   D. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?

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An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among 20,438 ​responses,61​% were​ "yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.
 
 
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
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
 
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
 
Identify the conclusion for this hypothesis test.
 
 
A.
Reject
H0.
There
is
sufficient evidence to support the claim that most people believe that the Loch Ness monster exists.
 
B.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.
 
C.
Fail to reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.
 
D.
Fail to reject H0.
There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.
How is the conclusion affected by the fact that Internet users who saw the question could decide whether to​ respond?
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