An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among 22185 responses, ​69%were​ "yes." Use a 0.10 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 Part 2 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is enter your response here. ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is enter your response here. ​(Round to three decimal places as​ needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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An online poll​ asked: "Do you believe the Loch Ness monster​ exists?" Among 22185 responses, ​69%were​ "yes." Use a 0.10 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
Part 2
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
Identify the conclusion for this hypothesis test. 
A. fail to reject There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists
B. Fail to reject. There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.
C. reject. There is sufficient evidence to support the claim that most people believe that the Loch Ness monster exists.
D. reject. There is not sufficient evidence to support 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?
A.Since the sample size is sufficiently​ large, the conclusion is valid.
 
B.Since only certain users are being allowed to​ respond, the conclusion is not valid.
 
C.Since any of the​ site's users are allowed to​ respond, the conclusion is valid.
 
D.Since the sample is a​ voluntary-response sample, the conclusion might not be valid
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