medical researcher says that less than 85​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that​ country, 83​% think that healthy children should be required to be vaccinated. At α=0.01​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) throug

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A medical researcher says that less than
85​%
of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of
300
adults in that​ country,
83​%
think that healthy children should be required to be vaccinated. At
α=0.01​,
is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) 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.
Less than
8585​%
of adults in the country think that healthy children should be required to be vaccinated.
Your answer is correct.
 
B.
The percentage of adults in the country who think that healthy children should be required to be vaccinated is not
enter your response here​%.
 
C.
More than
enter your response here​%
of adults in the country think that healthy children should be required to be vaccinated.
 
D.
enter your response here​%
of adults in the country think that healthy children should be required to be vaccinated.
Let p be the population proportion of​ successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. 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
Your answer is not correct.
 
C.
H0​:
p>enter your response here
Ha​:
p≤enter your response here
 
D.
H0​:
p≥0.850.85
Ha​:
p<0.850.85
 
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) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z0=negative 2.33−2.33
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
The rejection region is
z>enter your response here.
 
B.
The rejection region is
enter your response here<z<enter your response here.
 
C.
The rejection region is
z<enter your response here.
 
D.
The rejection regions are
z<enter your response here
and
z>enter your response here.
 
 
 
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