A medical researcher says that less than 79​% 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, 75​% think that healthy children should be required to be vaccinated. At α=0.10​, is there enough evidence to support the​ researcher's claim?   ​(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.) Fill the percentage for the correct answer   A. More than    %  of adults in the country think that healthy children should be required to be vaccinated.   B.     %  of adults in the country think that healthy children should be required to be vaccinated.   C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not    %.   D. Less than %  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≠ Ha​:p=   B. H0​:p= Ha​:p≠   C. H0​:p≥ Ha​:p<   D. H0​:p> Ha​:p≤   E. H0​:p< Ha​:p≥   F. H0​:p≤ Ha​:p>     ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   Identify the critical​ value(s) for this test.   z0 = ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

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A medical researcher says that less than 79​% 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, 75​% think that healthy children should be required to be vaccinated. At α=0.10​, is there enough evidence to support the​ researcher's claim?

 

​(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.)
Fill the percentage for the correct answer
 
A.
More than    %  of adults in the country think that healthy children should be required to be vaccinated.
 
B.     %  of adults in the country think that healthy children should be required to be vaccinated.
 
C.
The percentage of adults in the country who think that healthy children should be required to be vaccinated is not    %.
 
D.
Less than %  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≠
Ha​:p=
 
B.
H0​:p=
Ha​:p≠
 
C.
H0​:p≥
Ha​:p<
 
D.
H0​:p>
Ha​:p≤
 
E.
H0​:p<
Ha​:p≥
 
F.
H0​:p≤
Ha​:p>
 
 
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z0 =
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
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