A research center claims that 30​% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that​ country, 34​% say that they would travel into space on a commercial flight if they could afford it. At α=0.05​,

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A research center claims that
30​%
of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of
1100
adults in that​ country,
34​%
say that they would travel into space on a commercial flight if they could afford it. At
α=0.05​,
is there enough evidence to reject the research​ center's claim? Complete parts​ (a) through​ (d) below.
 
 
 
​(a) Identify the claim and state
H0
and
Ha.
 
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
At least
enter your response here​%
of adults in the country would travel into space on a commercial flight if they could afford it.
 
B.
enter your response here​%
of adults in the country would travel into space on a commercial flight if they could afford it.
 
C.
The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not
enter your response here​%.
 
D.
No more than
enter your response here​%
of adults in the country would travel into space on a commercial flight if they could afford it.
Let p be the population proportion of​ successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State
H0
and
Ha.
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
H0​:
p>enter your response here
Ha​:
p≤enter your response here
 
B.
H0​:
p≥enter your response here
Ha​:
p<enter your response here
 
C.
H0​:
p≠enter your response here
Ha​:
p=enter your response here
 
D.
H0​:
p=enter your response here
Ha​:
p≠enter your response here
 
E.
H0​:
p<enter your response here
Ha​:
p≥enter your response here
 
F.
H0​:
p≤enter your response here
Ha​:
p>enter your response here
​(b) Use technology to find the​ P-value.
 
Identify the standardized test statistic.
 
z=enter your response here
​(Round to two decimal places as​ needed.)
Identify the​ P-value.
 
P=enter your response here
​(Round to three decimal places as​ needed.)
​(c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim.
 
 
Fail to reject
Reject
the null hypothesis. There
 
is
is not
enough evidence to
 
reject
support
the research​ center's claim.
 
 
 
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