A humane society claims that less than 64​% of households in a certain country own a pet. In a random sample of 700 households in that​ country, 427 say they own a pet. At alphaαequals=0.01​, is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (c) below. ​(a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa.   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. nothing​% of households in the country own a pet.   B. More than nothing​% of households in the country own a pet.   C. Less than nothing​% of households in the country own a pet.   D. The percentage households in the country that own a pet is not nothing​%. Let p be the population proportion of​ successes, where a success is a household in the country that owns a pet. State Upper H 0H0 and Upper H Subscript aHa. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.)   A. Upper H 0H0​: pgreater than or equals≥nothing Upper H Subscript aHa​: pless thannothing   D. Upper H 0H0​: pgreater than>nothing Upper H Subscript aHa​: pless than or equals≤nothing   E. Upper H 0H0​: pequals=nothing Upper H Subscript aHa​: pnot equals≠nothing   F. Upper H 0H0​: pless than

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
A humane society claims that less than
64​%
of households in a certain country own a pet. In a random sample of
700
households in that​ country,
427
say they own a pet. At
alphaαequals=0.01​,
is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (c) below.
​(a) Identify the claim and state
Upper H 0H0
and
Upper H Subscript aHa.
 
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.
nothing​%
of households in the country own a pet.
 
B.
More than
nothing​%
of households in the country own a pet.
 
C.
Less than
nothing​%
of households in the country own a pet.
 
D.
The percentage households in the country that own a pet is not
nothing​%.
Let p be the population proportion of​ successes, where a success is a household in the country that owns a pet. State
Upper H 0H0
and
Upper H Subscript aHa.
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
Upper H 0H0​:
pgreater than or equals≥nothing
Upper H Subscript aHa​:
pless than<nothing
 
B.
Upper H 0H0​:
pnot equals≠nothing
Upper H Subscript aHa​:
pequals=nothing
 
C.
Upper H 0H0​:
pless than or equals≤nothing
Upper H Subscript aHa​:
pgreater than>nothing
 
D.
Upper H 0H0​:
pgreater than>nothing
Upper H Subscript aHa​:
pless than or equals≤nothing
 
E.
Upper H 0H0​:
pequals=nothing
Upper H Subscript aHa​:
pnot equals≠nothing
 
F.
Upper H 0H0​:
pless than<nothing
Upper H Subscript aHa​:
pgreater than or equals≥nothing
​(b) Use technology to find the​ P-value.
 
Identify the standardized test statistic.
 
zequals=nothing
​(Round to two decimal places as​ needed.)
Identify the​ P-value.
 
Pequals=nothing
​(Round to three decimal places as​ needed.)
​(c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim.
 
 
Fail to reject
Reject
the null hypothesis. There
 
is not
is
enough evidence to
 
reject
support
the​ society's claim.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman