A medical researcher says that less than 74​%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that​ country, 71​% 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 andHa.   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 on the correct answer A.       ​% of adults in the country think that healthy children should be required to be vaccinated.   B. Less than %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. More 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.) insert the one that is correct fill it up 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.   Z 0 = ​(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.)   insert in the boxes the one that is correct !!! A. The rejection regions are  zinsert   B. The rejection region is z< Insert.   C. The rejection region is Insert   ​(c) Find the standardized test statistic z.   z= ​(Round to two decimal places as​ needed.)   ​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.   ▼   a.Reject b.Fail to reject the null hypothesis. There▼A.is not b.is  enough evidence to▼ A.support b.reject the​ researcher's claim.   decide between a and b

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A medical researcher says that less than 74​%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that​ country, 71​% 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 andHa.
 
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 on the correct answer
A.
      ​% of adults in the country think that healthy children should be required to be vaccinated.
 
B.
Less than %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.
More 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.)
insert the one that is correct fill it up
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.
 
0 =
​(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.)
 
insert in the boxes the one that is correct !!!
A.
The rejection regions are  z<insert and z>insert
 
B.
The rejection region is z< Insert.
 
C.
The rejection region is <z< Insert.
 
D.
The rejection region is z> Insert
 
​(c) Find the standardized test statistic z.
 
z=
​(Round to two decimal places as​ needed.)
 
​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.
 
 
a.Reject
b.Fail to reject
the null hypothesis. There▼A.is not b.is  enough evidence to▼ A.support
b.reject
the​ researcher's claim.
 
decide between a and b
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