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...






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.



3030​%

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







C.



H0​:

p≠enter your response here



Ha​:

p=enter your response here







D.



H0​:

p=0.300.30



Ha​:

p≠0.300.30







E.



H0​:

p



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=2.902.90


​(Round to two decimal places as​ needed.)

Identify the​ P-value.



P=0.0370.037


​(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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Jun 08, 2022
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