A humane society claims that less than 62​% of households in a certain country own a pet. In a random sample of 700 households in that​ country, 413 say they own a pet. At α=0.01​, is there enough evidence to support the​ society's claim? Complete

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 54E
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A humane society claims that less than
62​%
of households in a certain country own a pet. In a random sample of
700
households in that​ country,
413
say they own a pet. At
α=0.01​,
is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (c) 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.
More than
enter your response here​%
of households in the country own a pet.
 
B.
The percentage households in the country that own a pet is not
enter your response here​%.
 
C.
enter your response here​%
of households in the country own a pet.
 
D.
Less than
6262​%
of households in the country own a pet.
Your answer is correct.
Let p be the population proportion of​ successes, where a success is a household in the country that owns a pet. 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≤enter your response here
Ha​:
p>enter your response here
 
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
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