SlideShare a Scribd company logo
A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per
day. At the ? = .01 level of significance, is there sufficient evidence to conclude that a difference
exists between the proportion of cats and the proportion of dogs that sleep more than 10 hours
per day?
Complete the output to include the following steps: the null and alternative hypothesis, the z -
value, the p-value, and make a decision whether to reject H0 or not to reject H0 and write a valid
conclusion based on the claim or the test.
Solution
p1=11/50 =0.22
p2= 21/50 = 0.42
Null hypothesis: p1=p2
Alternative hypothesis: p1 not equal to p2
The test statistic is
Z=(p1-p2)/sqrt(p1*(1-p1)/n1+p2*(1-p2)/n2)
=(0.22-0.42)/sqrt(0.22*(1-0.22)/50+0.42*(1-0.42)/50)
=-2.19
It is a two-tailed test.
So the p-value= 2*P(Z<-2.19) = 0.0285 (from standard normal table)
Since the p-value is larger than 0.01, we do not reject Ho.
So we can not conclude that a difference exists between the proportion of cats and the proportion
of dogs that sleep more than 10 hours per day

More Related Content

More from arshicollection001

Describe at least 3 adverse conditions caused by toxicants that enter.pdf
Describe at least 3 adverse conditions caused by toxicants that enter.pdfDescribe at least 3 adverse conditions caused by toxicants that enter.pdf
Describe at least 3 adverse conditions caused by toxicants that enter.pdf
arshicollection001
 
Correlation and regression are two closely related topics in statisti.pdf
Correlation and regression are two closely related topics in statisti.pdfCorrelation and regression are two closely related topics in statisti.pdf
Correlation and regression are two closely related topics in statisti.pdf
arshicollection001
 
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdfAs tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
arshicollection001
 
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdfAccording to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
arshicollection001
 
A project has the following cash flows What is the projects NPV i.pdf
A project has the following cash flows What is the projects NPV i.pdfA project has the following cash flows What is the projects NPV i.pdf
A project has the following cash flows What is the projects NPV i.pdf
arshicollection001
 
1.) What is the best definition of social inequalitysocial inequa.pdf
1.) What is the best definition of social inequalitysocial inequa.pdf1.) What is the best definition of social inequalitysocial inequa.pdf
1.) What is the best definition of social inequalitysocial inequa.pdf
arshicollection001
 
What is the endothelium part of the tunica externa in arteries amp.pdf
What is the endothelium  part of the tunica externa in arteries  amp.pdfWhat is the endothelium  part of the tunica externa in arteries  amp.pdf
What is the endothelium part of the tunica externa in arteries amp.pdf
arshicollection001
 
Which statement is true (more than one may be selected)a) Substan.pdf
Which statement is true (more than one may be selected)a) Substan.pdfWhich statement is true (more than one may be selected)a) Substan.pdf
Which statement is true (more than one may be selected)a) Substan.pdf
arshicollection001
 
Write down the reaction for the catabolism of ATP Does that occ.pdf
Write down the reaction for the catabolism of ATP  Does that occ.pdfWrite down the reaction for the catabolism of ATP  Does that occ.pdf
Write down the reaction for the catabolism of ATP Does that occ.pdf
arshicollection001
 
48. The figure above shows the graph of a polynomial function f. What.pdf
48. The figure above shows the graph of a polynomial function f. What.pdf48. The figure above shows the graph of a polynomial function f. What.pdf
48. The figure above shows the graph of a polynomial function f. What.pdf
arshicollection001
 
The following sequence alignment between several species shows many c.pdf
The following sequence alignment between several species shows many c.pdfThe following sequence alignment between several species shows many c.pdf
The following sequence alignment between several species shows many c.pdf
arshicollection001
 
Which of the following is a binary operation Why or why not(1) T.pdf
Which of the following is a binary operation Why or why not(1) T.pdfWhich of the following is a binary operation Why or why not(1) T.pdf
Which of the following is a binary operation Why or why not(1) T.pdf
arshicollection001
 
Why do genes that encode structural RNA molecules tend to be highly .pdf
Why do genes that encode structural RNA molecules tend to be highly .pdfWhy do genes that encode structural RNA molecules tend to be highly .pdf
Why do genes that encode structural RNA molecules tend to be highly .pdf
arshicollection001
 
Which group of terms is in the correct developmental sequence micro.pdf
Which group of terms is in the correct developmental sequence  micro.pdfWhich group of terms is in the correct developmental sequence  micro.pdf
Which group of terms is in the correct developmental sequence micro.pdf
arshicollection001
 
Verify the given identity. (Simplify your answers completely.) 2 tan.pdf
Verify the given identity. (Simplify your answers completely.)  2 tan.pdfVerify the given identity. (Simplify your answers completely.)  2 tan.pdf
Verify the given identity. (Simplify your answers completely.) 2 tan.pdf
arshicollection001
 
what are the cells types involved in eczema and its healing process.pdf
what are the cells types involved in eczema and its healing process.pdfwhat are the cells types involved in eczema and its healing process.pdf
what are the cells types involved in eczema and its healing process.pdf
arshicollection001
 
What additional services are supported by SCTP but are not provided .pdf
What additional services are supported by SCTP but are not provided .pdfWhat additional services are supported by SCTP but are not provided .pdf
What additional services are supported by SCTP but are not provided .pdf
arshicollection001
 
The reason most cartels end or cease to be effective is Enforcement.pdf
The reason most cartels end or cease to be effective is  Enforcement.pdfThe reason most cartels end or cease to be effective is  Enforcement.pdf
The reason most cartels end or cease to be effective is Enforcement.pdf
arshicollection001
 
Please produce an accurate research design model that dipicts a Pre-.pdf
Please produce an accurate research design model that dipicts a Pre-.pdfPlease produce an accurate research design model that dipicts a Pre-.pdf
Please produce an accurate research design model that dipicts a Pre-.pdf
arshicollection001
 
Nucleosomes and DNA in the new organisms below represent which .pdf
Nucleosomes and DNA in the new organisms below represent which .pdfNucleosomes and DNA in the new organisms below represent which .pdf
Nucleosomes and DNA in the new organisms below represent which .pdf
arshicollection001
 

More from arshicollection001 (20)

Describe at least 3 adverse conditions caused by toxicants that enter.pdf
Describe at least 3 adverse conditions caused by toxicants that enter.pdfDescribe at least 3 adverse conditions caused by toxicants that enter.pdf
Describe at least 3 adverse conditions caused by toxicants that enter.pdf
 
Correlation and regression are two closely related topics in statisti.pdf
Correlation and regression are two closely related topics in statisti.pdfCorrelation and regression are two closely related topics in statisti.pdf
Correlation and regression are two closely related topics in statisti.pdf
 
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdfAs tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
As tawny crazy ants (Nylanderia fulva) invade the southern United Sta.pdf
 
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdfAccording to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
According to the USA Snapshot “Knowing drug addicts” 40 of American.pdf
 
A project has the following cash flows What is the projects NPV i.pdf
A project has the following cash flows What is the projects NPV i.pdfA project has the following cash flows What is the projects NPV i.pdf
A project has the following cash flows What is the projects NPV i.pdf
 
1.) What is the best definition of social inequalitysocial inequa.pdf
1.) What is the best definition of social inequalitysocial inequa.pdf1.) What is the best definition of social inequalitysocial inequa.pdf
1.) What is the best definition of social inequalitysocial inequa.pdf
 
What is the endothelium part of the tunica externa in arteries amp.pdf
What is the endothelium  part of the tunica externa in arteries  amp.pdfWhat is the endothelium  part of the tunica externa in arteries  amp.pdf
What is the endothelium part of the tunica externa in arteries amp.pdf
 
Which statement is true (more than one may be selected)a) Substan.pdf
Which statement is true (more than one may be selected)a) Substan.pdfWhich statement is true (more than one may be selected)a) Substan.pdf
Which statement is true (more than one may be selected)a) Substan.pdf
 
Write down the reaction for the catabolism of ATP Does that occ.pdf
Write down the reaction for the catabolism of ATP  Does that occ.pdfWrite down the reaction for the catabolism of ATP  Does that occ.pdf
Write down the reaction for the catabolism of ATP Does that occ.pdf
 
48. The figure above shows the graph of a polynomial function f. What.pdf
48. The figure above shows the graph of a polynomial function f. What.pdf48. The figure above shows the graph of a polynomial function f. What.pdf
48. The figure above shows the graph of a polynomial function f. What.pdf
 
The following sequence alignment between several species shows many c.pdf
The following sequence alignment between several species shows many c.pdfThe following sequence alignment between several species shows many c.pdf
The following sequence alignment between several species shows many c.pdf
 
Which of the following is a binary operation Why or why not(1) T.pdf
Which of the following is a binary operation Why or why not(1) T.pdfWhich of the following is a binary operation Why or why not(1) T.pdf
Which of the following is a binary operation Why or why not(1) T.pdf
 
Why do genes that encode structural RNA molecules tend to be highly .pdf
Why do genes that encode structural RNA molecules tend to be highly .pdfWhy do genes that encode structural RNA molecules tend to be highly .pdf
Why do genes that encode structural RNA molecules tend to be highly .pdf
 
Which group of terms is in the correct developmental sequence micro.pdf
Which group of terms is in the correct developmental sequence  micro.pdfWhich group of terms is in the correct developmental sequence  micro.pdf
Which group of terms is in the correct developmental sequence micro.pdf
 
Verify the given identity. (Simplify your answers completely.) 2 tan.pdf
Verify the given identity. (Simplify your answers completely.)  2 tan.pdfVerify the given identity. (Simplify your answers completely.)  2 tan.pdf
Verify the given identity. (Simplify your answers completely.) 2 tan.pdf
 
what are the cells types involved in eczema and its healing process.pdf
what are the cells types involved in eczema and its healing process.pdfwhat are the cells types involved in eczema and its healing process.pdf
what are the cells types involved in eczema and its healing process.pdf
 
What additional services are supported by SCTP but are not provided .pdf
What additional services are supported by SCTP but are not provided .pdfWhat additional services are supported by SCTP but are not provided .pdf
What additional services are supported by SCTP but are not provided .pdf
 
The reason most cartels end or cease to be effective is Enforcement.pdf
The reason most cartels end or cease to be effective is  Enforcement.pdfThe reason most cartels end or cease to be effective is  Enforcement.pdf
The reason most cartels end or cease to be effective is Enforcement.pdf
 
Please produce an accurate research design model that dipicts a Pre-.pdf
Please produce an accurate research design model that dipicts a Pre-.pdfPlease produce an accurate research design model that dipicts a Pre-.pdf
Please produce an accurate research design model that dipicts a Pre-.pdf
 
Nucleosomes and DNA in the new organisms below represent which .pdf
Nucleosomes and DNA in the new organisms below represent which .pdfNucleosomes and DNA in the new organisms below represent which .pdf
Nucleosomes and DNA in the new organisms below represent which .pdf
 

Recently uploaded

Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Thiyagu K
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
TechSoup
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
Delapenabediema
 
Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
joachimlavalley1
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
BhavyaRajput3
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
SACHIN R KONDAGURI
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
camakaiclarkmusic
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
Peter Windle
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
Vikramjit Singh
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
Celine George
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
JosvitaDsouza2
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
beazzy04
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
Peter Windle
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
Jean Carlos Nunes Paixão
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
CarlosHernanMontoyab2
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
Celine George
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
EduSkills OECD
 
Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
Tamralipta Mahavidyalaya
 

Recently uploaded (20)

Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
 
Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
 
Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
 

A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs .pdf

  • 1. A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per day. At the ? = .01 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of cats and the proportion of dogs that sleep more than 10 hours per day? Complete the output to include the following steps: the null and alternative hypothesis, the z - value, the p-value, and make a decision whether to reject H0 or not to reject H0 and write a valid conclusion based on the claim or the test. Solution p1=11/50 =0.22 p2= 21/50 = 0.42 Null hypothesis: p1=p2 Alternative hypothesis: p1 not equal to p2 The test statistic is Z=(p1-p2)/sqrt(p1*(1-p1)/n1+p2*(1-p2)/n2) =(0.22-0.42)/sqrt(0.22*(1-0.22)/50+0.42*(1-0.42)/50) =-2.19 It is a two-tailed test. So the p-value= 2*P(Z<-2.19) = 0.0285 (from standard normal table) Since the p-value is larger than 0.01, we do not reject Ho. So we can not conclude that a difference exists between the proportion of cats and the proportion of dogs that sleep more than 10 hours per day