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14-1Business
Research
MethodsThirteenth
Edition
Pamela
S.
SchindlerChapter
14STAGE
4:
HYPOTHESIS
TESTING?2019
McGraw-Hill
Education.
All
rights
reserved.
Authorized
only
for
instructor
use
in
the
classroom.
Noreproduction
or
further
distribution
permitted
without
the
prior
written
consent
of
McGraw-Hill
Education.Learning
Objectives14-2?
2019
McGraw-Hill
Education.Understand
.
.
.The
nature
and
logic
of
hypothesis
testing.A
statistically
significant
difference
The
six-step
hypothesis
testing
procedure.The
differences
between
parametric
andnonparametric
tests
and
when
to
use
each.The
factors
that
influence
the
selection
of
anappropriate
test
of
statistical
significance.How
to
interpret
the
various
test
statistics.Research
Thought
Leader14-3?
2019
McGraw-Hill
Education.“A
fact
is
a
simple
statement
that
everyone
believes.It
is
innocent,
unless
found
guilty.
A
hypothesis
is
anovel
suggestion
that
no
one
wants
to
believe.
It
isguilty,
until
found
effective.”Edward
Teller,
theoretical
physicist,“father
of
the
hydrogen
bomb”(1908–2003)Hypothesis
Testing14-4?
2019
McGraw-Hill
Education.Induction
ReasoningDeduction
ReasoningReasoning
and
Hypotheses
(1
of
2)Inductions
are
an
inferential
leap
from
theevidence
presented.=14-5?
2019
McGraw-Hill
Education.Reasoning
and
Hypotheses
(2
of
2)Deductions
are
only
as
good
as
the
premises
onwhich
they
are
based.≠14-6?
2019
McGraw-Hill
Education.Statistical
Procedures14-7?
2019
McGraw-Hill
Education.Inferential
StatisticsDescriptive
StatisticsHypothesis
Testing
and
the
ResearchProcessJump
to
long
description14-8?
2019
McGraw-Hill
Education.The
“Ah-Ha”
MomentWhen
researchers
siftthrough
the
chaos
andfind
what
matters.14-9?
2019
McGraw-Hill
Education.Approaches
to
Hypothesis
Testing14-10?
2019
McGraw-Hill
Education.Classical
statistics
Objective
view
ofprobability
Establishedhypothesis
is
rejectedor
fails
to
be
rejected
Analysis
based
onsample
dataBayesian
statistics
Extension
of
classicalapproach
Analysis
based
onsample
data
Also
considersestablished
subjectiveprobability
estimatesSignificance
&
HypothesesStatistical
SignificancePractical
Significance14-11?
2019
McGraw-Hill
Education.Null
vs.
Alternative
HypothesesNullH0:=60
mpgH0:<60
mpgH0:>60
mpgAlternativeHA:HA:HA:≠
60
mpg>
60
mpg<
60
mpg14-12?
2019
McGraw-Hill
Education.Two-Tailed
Test
of
SignificanceJump
to
long
description14-13?
2019
McGraw-Hill
Education.One-Tailed
Test
of
SignificanceJump
to
long
description14-14?
2019
McGraw-Hill
Education.Decision
Rule14-15?
2019
McGraw-Hill
Education.Takeno
corrective
action
if
the
analysis
shows
thatone
cannot
reject
the
null
hypothesis.Statistical
DecisionsJump
to
long
description?
2019
McGraw-Hill
Education.14-16Probability
of
Making
a
Type
I
Error
(1
of
2)Jump
to
long
description?
2019
McGraw-Hill
Education.14-17Probability
of
Making
A
Type
I
Error
(2
of
2)Jump
to
long
description?
2019
McGraw-Hill
Education.14-18Critical
Values14-19?
2019
McGraw-Hill
Education.Factors
Affecting
Probability
ofCommitting
a
Error14-20?
2019
McGraw-Hill
Education.True
value
of
parameterAlpha
level
selectedOne
or
two-tailed
test
usedSample
standard
deviationSample
sizeProbability
of
Making
A
Type
II
ErrorJump
to
long
description14-21?
2019
McGraw-Hill
Education.Statistical
Testing
Procedures14-22?
2019
McGraw-Hill
Education.StagesState
null
hypothesisChoose
statistical
testSelect
level
of
significanceCompute
difference
valueObtain
critical
test
valueInterpret
the
testTests
of
Significance14-23?
2019
McGraw-Hill
Education.ParametricNonparametricAssumptions
for
Using
ParametricTestsIndependent
observationsNormal
distributionEqual
variancesInterval
or
ratio
scalesJump
to
long
description14-24?
2019
McGraw-Hill
Education.Probability
Plot
(1
of
3)14-25?
2019
McGraw-Hill
Education.Probability
Plot
(2
of
3)14-26?
2019
McGraw-Hill
Education.Probability
Plot
(3
of
3)Jump
to
long
description14-27?
2019
McGraw-Hill
Education.Advantages
of
Nonparametric
Tests
Easy
to
understand
anduseUsable
with
nominal
data
Appropriate
for
ordinaldata
Appropriate
for
non-normal
populationdistributions14-28?
2019
McGraw-Hill
Education.How
to
Select
a
TestHow
many
samples
areinvolved?If
>
2
Are
the
individual
casesindependent
or
related?
Is
the
measurement
nominal,
ordinal,
interval,or
ratio?14-29?
2019
McGraw-Hill
Education.Recommended
Statistical
Techniques14-30?
2019
McGraw-Hill
Education.MeasurementScaleOne-SampleCaseTwo-SampleTests:
RelatedSamplesTwo-Sample
Tests:IndependentSamplesk-Sample
Tests:RelatedSamplesk-Sample
Tests:IndependentSamplesNominalOrdinalInterval
andRatioBinomialx2
one-sampletestKolmogorov-Smirnov
one-sample
testRuns
testt-testZ
testMcNemarSign
testWilcoxonmatched-pairstestt-test
for
pairedsamplesFisher
exact
testx2
two-samples
testMedian
testMann-Whitney
UKolmogorov-SmirnovWald-Wolfowitzt-testZ
testCochran
QFriedmantwo-wayANOVARepeated-measuresANOVAx2
for
k
samplesMedianextensionKruskal-Wallisone-way
ANOVAOne-wayANOVAn-way
ANOVAQuestions
Answeredby
One-SampleTests
Differencebetweenobserved
and
expectedfrequencies?
Differencebetweenobserved
and
expectedproportions?
Significant
differencebetween
some
measure
ofcentral
tendency
and
thepopulation
parameter?14-31?
2019
McGraw-Hill
Education.Parametric
Tests14-32?
2019
McGraw-Hill
Education.Z-testt-testOne-Sample
t-Test
Example14-33?
2019
McGraw-Hill
Education.Null
Statistical
testSignificance
levelCalculated
valueCritical
test
valueHo:
=
50
mpgt-test.05,
n=1001.7861.66
(from
Appendix
C,Exhibit
C-2)One
Sample
Chi-Square
Test
ExampleLivingArrangementIntend
to
JoinNumberInterviewedPercent(no.interviewed/200)ExpectedFrequencies(percent
x
60)Dorm/fraternity16904527Apartment/roominghouse,
nearby13402012Apartment/roominghouse,
distant16402012Live
athome1530159Total602001006014-34?
2019
McGraw-Hill
Education.One-Sample
Chi-Square
Example14-35?
2019
McGraw-Hill
Education.Null
Statistical
testSignificance
levelCalculated
valueCritical
test
valueHo:
0
=
EOne-sample
chi-square.059.897.82(fromAppendixC,Exhibit
C-3)Two-Sample
Parametric
Tests14-36?
2019
McGraw-Hill
Education.Two-Sample
t-Test
Example
(1
of
2)14-37?
2019
McGraw-Hill
Education.A
GroupB
GroupAverage
hourlysalesX1
=$1,500X2
=
$1,300Standarddeviations1
=
225s2
=
251Two-Sample
t-Test
Example
(2
of
2)14-38?
2019
McGraw-Hill
Education.Null
Statistical
testSignificance
levelCalculated
valueCritical
test
valueHo:
A
sales
=
B
salest-test.05
(one-tailed)1.97,
d.f.
=
201.725(fromAppendixC,Exhibit
C-2)Two-Sample
Nonparametric
Tests:
Chi-Square14-39?
2019
McGraw-Hill
Education.Cell
DesignationCountExpected
ValuesOn-the-Job-Accident:YesOn-the-Job-Accident:
NoRow
TotalSmokerHeavy
SmokerModerateNonsmoker1,11,212,4168.247.752,192,26157.737.273,1133,2223518.0316.97Column
Total343266Two-Sample
Chi-Square
Example14-40?
2019
McGraw-Hill
Education.NullStatistical
testSignificance
levelCalculated
valueCritical
test
valueThere
is
no
difference
indistribution
channel
for
agecategories.Chi-square.056.86,
d.f.
=
25.99(from
Appendix
C,
Exhibit
C-3)SPSS
Cross-Tabulation
ProcedureJump
to
long
description14-41?
2019
McGraw-Hill
Education.Two-Related-Samples
Tests14-42?
2019
McGraw-Hill
Education.ParametricNonparametricSales
Data
for
Paired-Samples
t-Test14-43?
2019
McGraw-Hill
Education.SalesSalesCompanyYear
2Year
1Difference
DD2GM126932123505342711744329GE5457449662491224127744Exxon8665678944771259474944IBM6271059512319210227204Ford9614692300384614971716AT&T3611235173939881721Mobil502204811121094447881DuPont350993242726326927424Sears5379449975381914584761AmocoTotal23966207793187ΣD
=
3578110156969ΣD
=
157364693Paired-Samples
t-Test
Example14-44?
2019
McGraw-Hill
Education.NullStatistical
testSignificance
levelCalculated
valueCritical
test
valueYear
1
sales
=Year
2
salesPaired
sample
t-test.016.28,
d.f.
=
93.25(from
Appendix
C,
Exhibit
C-2)SPSS
Output
for
Paired-Samples
t-TestJump
to
long
description14-45?
2019
McGraw-Hill
Education.Related
Samples
Nonparametric
Tests:McNemar
Test
(1
of
2)14-46?
2019
McGraw-Hill
Education.BeforeAfter
FavorFavorDo
Not
FavorAfter
Do
NotFavorA
CB
DRelated
Samples
Nonparametric
Tests:McNemar
Test
(2
of
2)14-47?
2019
McGraw-Hill
Education.BeforeAfter
Do
NotFavorAfter
FavorFavorA=10B=90Do
Not
FavorC=60D=40k-Independent-Samples
Tests:
ANOVA14-48?
2019
McGraw-Hill
Education.Tests
the
null
hypothesis
that
the
means
of
three
ormore
populations
are
equal.One-way:
Uses
a
single-factor,
fixed-effects
modelto
compare
the
effects
of
a
treatment
or
factor
ona
continuous
dependent
variable.ANOVA
Example
(1
of
2)14-49?
2019
McGraw-Hill
Education.Model
SummarySourced.f.Sum
of
SquaresMean
SquareF
Valuep
ValueModel
(airline)211644.0335822.01728.3040.0001Residual
(error)5711724.550205.694Total5923368.583Means
TableCountMeanStd.
Dev.Std.
ErrorLufthansa2038.95014.0063.132Malaysia
Airlines2058.90015.0893.374Cathay
Pacific2072.90013.9023.108All
data
are
hypotheticalANOVA
Example
(2
of
2)14-50?
2019
McGraw-Hill
Education.NullStatistical
testSignificance
levelCalculated
valueA1
=
A2
=
A3ANOVA
and
F
ratio.0528.304,
d.f.
=
2,
57Critical
test
value3.16(from
Appendix
C,
Exhibit
C-9)Post
Hoc:
Scheffe’s
S
MultipleComparison
Procedure14-51?
2019
McGraw-Hill
Education.VersesDiffCrit.
Diff.p
ValueLufthansaMalaysia
Airlines19,95011.400.0002Cathay
Pacific33.95011.400.0001Malaysia
AirlinesCathay
Pacific14.00011.400.0122Multiple
Comparison
Procedures14-52?
2019
McGraw-Hill
Education.TestComplexComparisonsPairwiseComparisonsEqual
n’sOnlyUnequal
n’sEqualVariancesAssumedUnequalVariancesNot
AssumedFisher
LSDXXXBonferroniXXXTukey
HSDXXXTukey-KramerXXXGames-HowellXXXTamhane
T2XXXScheffé
SXXXXBrown-XXXXForsytheNewman-KeulsXXDuncanXXDunnet’s
T3XDunnet’s
CXANOVA
PlotsJump
to
long
description14-53?
2019
McGraw-Hill
Education.Jump
to
long
descriptionTwo-Way
ANOVA
Example14-54?
2019
McGraw-Hill
Education.Model
SummarySource
d.f.Sum
of
SquaresMean
SquareF
Valuep
ValueAirline211644.0335822.01739.1780.0001Seat
selection13182.8173182.81721.4180.0001Airline
by
seat
selection2517.033258.5171.7400.1853Residual548024.700148.606Means
Table
Effect:
Airline
by
Seat
SelectionCountMeanStd.
Dev.Std.
ErrorLufthansa
economy1035.60012.1403.839Lufthansa
business1042.30015.5504.917Malaysia
Airlines
economy1048.50012.5013.953Malaysia
Airlines
business1069.3009.1662.898Cathay
Pacific
economy1064.80013.0374.123Cathay
Pacific
businessAll
data
are
hypothetica1081.0009.6033.037lTwo-way
Analysis
of
Variance
PlotsJump
to
long
description14-55?
2019
McGraw-Hill
Education.k-Related-Samples
Tests14-56?
2019
McGraw-Hill
Education.More
than
two
levels
in
grouping
factorObservations
are
matchedData
are
interval
or
ratio?
2019
McGraw-Hill
Education.14-57Summary
Tables
for
Repeated-Measures
ANOVAModel
SummarySourced.f.Sum
of
SquaresMean
SquareF
Valuep
ValueAirline23552735.5017763.77567.1990.0001Subject
(group)5715067.650264.345Ratings1625.633625.63314.3180.0004Ratings
byair22061.7171030.85823.5920.0001Ratings
bysubj572490.65043.696Means
Tableby
AirlineCountMeanStd.
Dev.Std.
ErrorRating
1,
Lufthansa2038.95014.0063.132Rating
1,
Malaysia2058.90015.0893.374AirlinesRating
1,
Cathay
Pacific2072.90013.9023.108Rating
2,
Lufthansa2032.4008.2681.849Rating
2,
Malaysia2072.25010.5722.364AirlinesMeans
Table
Effect:
RatingsRating
2,
Cathay
Pacific
20
79.80011.2652.519CountMeanStd.
Dev.Std.
ErrorRating
16056.91719.9022.569Rating
26061.48323.2082.996All
data
are
hypothetical.Repeated
Measures
ANOVA
PlotJump
to
long
description14-58?
2019
McGraw-Hill
Education.Key
Terms
(1
of
2)14-59?
2019
McGraw-Hill
Education.a
priori
contrastsAlternative
hypothesisAnalysis
of
variance
(ANOVA)Bayesian
statisticsChi-square
testClassical
statisticsCritical
valueF
ratioInferential
statisticsK-independent-samples
testsK-related-samples
testsLevel
of
significanceMean
square
Multiple
comparison
tests(range
tests)Nonparametric
testsNormal
probability
plotNull
hypothesisObserved
significance
levelOne-sample
testsOne-tailed
testKey
Terms
(2
of
2)14-60?
2019
McGraw-Hill
Education.p
valueParametric
testsPower
of
the
testPractical
significanceRegion
of
acceptanceRegion
of
rejectionStatistical
significancet
distributionTrialst-test
Two-independent-samplestestsTwo-related-samples
testsTwo-tailed
testType
I
errorType
II
errorZ
distributionZ
testPhoto
Attributions14-61?
2019
McGraw-Hill
Education.SlideSource5?walenga/123RF5?MedicalRF.com6?CostinT/Getty
Images6?Image
Source,
all
rights
reserved.9?Caiaimage/Glow
Images11?
McGraw-Hill
Education/Mark
Dierker12?
McGraw-Hill
Education/Mark
Dierker24?
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Babii
/
AlamySlide
Source28?
Shutterstock
/
Anton
Gepolov29?
Image
Source/Takahiro
Igarashi31?
Monalyn
Gracia/Fancy/age
fotostock
RF53?
Blend
Images
/
Alamy
Stock
Photo62?
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/
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Photo63?
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Tervonen
/
Alamy64?
Jukeboxhero/iStock/Getty
Images65Purestock/SuperStock13-62Chapter
14STAGE
4:
HYPOTHESIS
TESTINGDISCUSSION
OPPORTUNITIES?2019
McGraw-Hill
Education.
All
rights
reserved.
Authorized
only
for
instructor
use
in
the
classroom.
Noreproduction
or
further
distribution
permitted
without
the
prior
written
consent
of
McGraw-Hill
Education.Snapshot:
Testing
a
Hypothesis
forTroy-Bilt?
What
elements
in
TV
advertisingbuild
recall
and
consideration?
Those
who
are
market
ready
incategory
process
TV
adsdifferently
than
those
who
aren’tmarket
ready.Test
and
control
groups
used.
Test
ads
embedded
in
DIYHouse
Crashers.14-63?
2019
McGraw-Hill
Education.Snapshot:
Testing
a
Hypothesis
ofUnrealistic
Drug
use
in
MoviesTop
200
rental
movies
during
2
years.
Content
analysis
of
drinking,smoking,illicit
drugs,
prescriptions
and
OLCdrugs.Trained
coders.
Prevalence
of
use,
frequency
of
use,percentage
of
characters
using.14-64?
2019
McGraw-Hill
Education.Snapshot:
A/B
Testing
Comes
of
Age
Different
direct
piecesdifferent
sent
to
samplegroups
Change
return
address
onenvelopeChange
offerChange
color
of
paper14-65?
2019
McGraw-Hill
Education.Snapshot:
A/B
Testing
Comes
of
Age
Does
web
page
designalter
click
behavior?
Are
we
being
testedwheneverwe
visit
a
webpage?Test
one
or
multiple
factors.
What
hypothesis
coulddrive
A/B
tests?14-66?
2019
McGraw-Hill
Education.Appendix
of
Image
Long
Descriptions14-67?
2019
McGraw-Hill
Education.Hypothesis
Testing
and
the
ResearchProcess
Long
Description14-68?
2019
McGraw-Hill
Education.The
flow
starts
with
investigative
questions,
then
flows
toFormulate
Preliminary
Hypotheses,
then
to
PreliminaryAnalysis
Plan
(which
includes
Refine
Hypothesis
and
DataVisualization),
then
to
Measurement
Questions.The
flow
thengoes
to
Research
Design
(which
includes
Data
DesignCollection
and
Sampling
Design,
which
lead
to
the
InstrumentDevelopment).
This
then
flows
to
Data
Collection
andPreparation,
then
possibly
to
Revise
Hypotheses,
thenHypothesis
Testing,
and
finally
to
Data
Analysis
&Interpretation.Jump
to
imageTwo-Tailed
Test
of
Significance
LongDescription14-69?
2019
McGraw-Hill
Education.The
graph
has
a
bell
curve
marked
at
Z=-1.96
and
Z=1.96.The
tails
of
the
bell
curve
outside
these
two
boundaries
eachhave
an
area
of
.025,
and
it
is
in
these
two
regions
where
H-naught
is
rejected.
In
the
region
between
these
twoboundaries,
you
do
not
reject
H-naught.Jump
to
imageOne-Tailed
Test
of
Significance
LongDescription14-70?
2019
McGraw-Hill
Education.The
graph
has
a
bell
curve
marked
at
Z=1.645.
Thearea
to
the
right
of
this
boundary
is
.05,
and
it
is
inthis
region
where
H-naught
is
rejected.
In
theregion
to
the
left
of
this
boundary,
you
do
not
rejectH-naught.Jump
to
imageStatistical
Decisions
Long
Description14-71?
2019
McGraw-Hill
Education.The
graphic
shows
a
pair
of
2
by
2
squares,
in
these
are
thefollowing
information.
1)
Correct
Decision:
Accept
H0
when
H0
is
true;
Power
of
test:
Probability
=
1–alpha;
Innocent
ofcrime,
found
not
guilty.
2)
Type
II
Error:
Accept
H0
when
Ha
is
true;
Power
of
test:
Probability
=
beta;
guilty
of
crime,unjustly
acquitted.
3)
Type
I
Error:
Accept
Ha
when
H0
istrue;
Significance
level:
Probability
=
alpha;
Innocent,unjustly
convicted.
4)
Correct
Decision:
Accept
Ha
when
Hais
true;
Power
of
test:
Probability
=
1–beta;
Guilty,
justlyconvicted.Jump
to
imageProbability
of
Making
A
Type
I
ErrorLong
Description
(1
of
2)14-72?
2019
McGraw-Hill
Education.The
graph
involves
a
two-tailed
test.
A
bell
curve
hasmarked:mu=50,
x-bar-sub-c-sub-1=46.08,
x-bar-sub-c-sub-2
=
53.92.Between
these
two
points
is
the
region
of
acceptance,
andoutside
these
two
points
are
the
regions
of
rejection.Jump
to
imageProbability
of
Making
A
Type
I
ErrorLong
Description
(2
of
2)Jump
to
image14-73?
2019
McGraw-Hill
Education.The
graph
involves
a
one-tailed
test.
A
bell
graph
hasmarked:mu=50,
x-bar-sub-c=53.29.
To
the
left
of
this
point
isthe
region
of
acceptance,
and
to
the
right
is
the
region
ofrejection,
alpha
=.05.Probability
of
Making
A
Type
II
ErrorLong
DescriptionJump
to
image14-74?
2019
McGraw-Hill
Education.The
graph
consists
of
two
overlapping
bell
curves
-
the
one
on
the
left
labeled
alpha,
and
the
one
on
the
right
labeledbeta.
On
the
alpha
graph,
the
line
that
marks
alpha
=
.05
isextended
up
to
the
beta
graph.
The
portion
of
the
graph
tothe
left
of
this
line
is
"don"t
reject
H-naught,"
and
to
the
ri"reject
H-naught."
1
minus
alpha
=
.95
is
marked
on
the
leftof
this
line,
as
well.
The
left
bell
curve
has
mu
=
50,
the
righbell
curve
hasmu=54,and
the
point
where
alpha
=
.05
is53.29.
To
the
left
of
this
point
beta
=
.36,
and
to
the
right
isminus
beta
=
.64.Assumptions
for
Using
ParametricTests
Long
DescriptionJump
to
image14-75?
2019
McGraw-Hill
Education.One
is
holding
a
computer
tablet
pointing
to
data
on
thescreen
while
the
other
one
is
writing
on
a
chart.Probability
Plot
(3
of
3)
LongDescriptionJump
to
image14-76?
2019
McGraw-Hill
Education.The
first
is
a
normal
plot
of
sample,
where
the
points
closelyfollow
a
curved
trend.
The
second
is
a
detrended
normal
plotof
sample,
where
the
points
follow
a
curve
that
is
not
marked.SPSS
Cross-Tabulation
ProcedureLong
DescriptionJump
to
image14-77?
2019
McGraw-Hill
Education.The
title
is
Income
by
Possession
of
MBA.
Across
the
top
isYes
or
No,
and
down
the
side
is
High
1
and
Low
2.
The
cellsare:
30
30
Row
Total
60;
1030
Row
Total
40;
Column
Total
40
60;
Total
100.
The
table
below
has
column
headers:
Chi-Square,
Value,
D.F.,
Significance.
Rows
are:
Pearson,
6.25,1,
.01242;
Continuity
Correction
5.25174,
1,
.02192;Likelihood
Ratio
6.43786,
1,
.01117;
Mantel-Haenszel6.18750,
1,
.01287.
Minimum
ExpectedFrequency:
16.000SPSS
Output
for
Paired-Samples
t-TestLong
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