. 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
. 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
Related questions
Question
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.)
enter your response here
%
of adults in the country think that healthy children should be required to be vaccinated.The percentage of adults in the country who think that healthy children should be required to be vaccinated is not
enter your response here
%.
Less than
84
84%
of adults in the country think that healthy children should be required to be vaccinated.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.)
H0:
p<enter your response here
Ha:
p≥enter your response here
H0:
p≠enter your response here
Ha:
p=enter your response here
H0:
p≥0.84
0.84
Ha:
p<0.84
0.84
H0:
p≤enter your response here
Ha:
p>enter your response here
H0:
p>enter your response here
Ha:
p≤enter your response here
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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