. A medical researcher says that less than 84​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that​ country, 81​% think that healthy children should be required to be vaccinated. At α=0.10​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.       Question content area bottom Part 1 ​(a) Identify the claim and state

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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5.

A medical researcher says that less than
84​%
of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of
200
adults in that​ country,
81​%
think that healthy children should be required to be vaccinated. At
α=0.10​,
is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.
 
 
 

Question content area bottom

Part 1
​(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.
enter your response here
 
​%
of adults in the country think that healthy children should be required to be vaccinated.
 
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.
Less than
84
 
84​%
of adults in the country think that healthy children should be required to be vaccinated.
Your answer is correct.
 
D.
More than
enter your response here
 
​%
of adults in the country think that healthy children should be required to be vaccinated.
Part 2
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
 
 
C.
H0​:
p≥0.84
 
0.84
Ha​:
p<0.84
 
0.84
Your answer is correct.
 
D.
H0​:
p≤enter your response here
 
Ha​:
p>enter your response here
 
 
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
 
Part 3
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z0=enter your response here
 
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
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