A medical researcher says that less than 76​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 500 adults in that​ country, 73​% 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. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing​%.   B. Less than 7676​% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct.   C. nothing​% of adults in the country think that healthy children should be required to be vaccinated.   D. More than nothing​% 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. ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   Identify the critical​ value(s) for this test.   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<   B. The rejection regions are Z and z>   C. The rejection region is z>   D. The rejection region is

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A medical researcher says that less than
76​%
of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of
500
adults in that​ country,
73​%
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.
The percentage of adults in the country who think that healthy children should be required to be vaccinated is not
nothing​%.
 
B.
Less than
7676​%
of adults in the country think that healthy children should be required to be vaccinated.
Your answer is correct.
 
C.
nothing​%
of adults in the country think that healthy children should be required to be vaccinated.
 
D.
More than
nothing​%
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.
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
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<
 
B.
The rejection regions are
Z and
z>
 
C.
The rejection region is
z>
 
D.
The rejection region is
<z<.
​(c) Find the standardized test statistic z.
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