medical researcher says that less than 85% 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, 83% 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) throug
medical researcher says that less than 85% 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, 83% 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) throug
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A medical researcher says that less than
85%
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,
83%
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.)
Less than
8585%
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%.
More than
enter your response here%
of adults in the country think that healthy children should be required to be vaccinated.enter your response here%
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.)
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
H0:
p≥0.850.85
Ha:
p<0.850.85
H0:
p=enter your response here
Ha:
p≠enter your response here
H0:
p≤enter your response here
Ha:
p>enter your response here
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
z0=negative 2.33−2.33
(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.)
The rejection region is
z>enter your response here.
The rejection region is
enter your response here<z<enter your response here.
The rejection region is
z<enter your response here.
The rejection regions are
z<enter your response here
and
z>enter your response here.
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