g g g g
tionsb 2nd Edition Beth L.Chance
g g g g g
Chapter 1 g
IntroductiongtogStatisticalgInvestigationsgTestgBank
Note:g TEg =g Textgentry TE-Ng =g Textgentryg-
gNumericgMag =g Matching MSg =g Multiplegselect
MCg =g Multiplegchoice TFg =g True-
FalsegEg=gEasy,gMg=gMedium,gHg=gHard
CHAPTERg1gLEARNINGgOBJECTIVES
CLO1-1:gUsegthegchancegmodelgtogdeterminegwhethergangobservedgstatisticgisgunlikelygtogoccur.
CLO1-2:gCalculategandginterpretgagp-
value,gandgstategthegstrengthgofgevidencegitgprovidesgagainstgthegnullghypothesis.
CLO1-
3:gCalculategagstandardizedgstatisticgforgagsinglegproportiongandgevaluategthegstrengthgofg
evidencegitgprovidesgagainstgagnullghypothesis.
CLO1-
4:gDescribeghowgthegdistancegofgthegobservedgstatisticgfromgthegparametergvaluegspecifi
edgbygthegnullghypothesis,gsamplegsize,gandgone-gvs.gtwo-
sidedgtestsgaffectgthegstrengthgofgevidencegagainstgthegnullghypothesis.
CLO1-5:gDescribeghowgtogcarrygoutgagtheory-based,gone-proportiongz-test.
Sectiong1.1:gIntroductiongtogChancegModels
LO1.1-1:gRecognizegthegdifferencegbetweengparametersgandgstatistics.
LO1.1-
2:gDescribeghowgtogusegcoingtossinggtogsimulategoutcomesgfromgagchancegmodelgofgtheg
ran-gdomgchoicegbetweengtwogevents.
LO1.1-3:gUsegthegOnegProportiongappletgtogcarrygoutgthegcoingtossinggsimulation.
LO1.1-
4:gIdentifygwhethergorgnotgstudygresultsgaregstatisticallygsignificantgandgwhethergorgnotgth
egchancegmodelgisgagplausiblegexplanationgforgthegdata.
LO1.1-
5:gImplementgtheg3Sgstrategy:gfindgagstatistic,gsimulategresultsgfromgagchancegmodel,g
andgcommentgongstrengthgofgevidencegagainstgobservedgstudygresultsghappeninggbygc
hancegalone.
LO1.1-
6:gDifferentiategbetweengsayinggthegchancegmodelgisgplausiblegandgthegchancegmodelgisg
thegcorrectgexplanationgforgthegobservedgdata.
FORgINSTRUCTORgUSEgONL
Y
,1-2 TestgBankgforgIntroductiongtogStatisticalgInvestigations,g2ndgEditio
n
Questionsg1gthroughg4:
DogredguniformgwearersgtendgtogwingmoregoftengthangthosegwearinggblueguniformsgingTa
ekwondogmatchesgwheregcompetitorsgaregrandomlygassignedgtogweargeithergagredgorgblu
eguniform?gIngagsamplegofg80gTaekwondogmatches,gtheregwereg45gmatchesgwheregthegr
edguniformgwearergwon.
1. Whatgisgthegparametergofginterestgforgthisgstudy?
A. Theglong-
rungproportiongofgTaekwondogmatchesgingwhichgthegredguniformgwearergwins
B. Thegproportiongofgmatchesgingwhichgthegredguniformgwearergwinsgingagsamplegofg
80gTaekwondogmatches
C. Whethergthegredguniformgwearergwinsgagmatch
D. 0.50
Ans:gA;gLO:g1.1-1;gDifficulty:gEasy;gType:gMC
2. Whatgisgthegstatisticgforgthisgstudy?
A. Theglong-
rungproportiongofgTaekwondogmatchesgingwhichgthegredguniformgwearergwins
B. Thegproportiongofgmatchesgingwhichgthegredguniformgwearergwinsgingagsamplegofg
80gTaekwondogmatches
C. Whethergthegredguniformgwearergwinsgagmatch
D. 0.50
Ans:gB;gLO:g1.1-1;gDifficulty:gEasy;gType:gMC
3. Givengbelowgisgthegsimulatedgdistributiongofgthegnumbergofg―redgwins‖gthatgcouldghappen
gbygchancegalonegingagsamplegofg80gmatches.gBasedgongthisgsimulation,gisgourgobserved
gresultgstatisticallygsignificant?
A. Yes,gsinceg45gisglargergthang40.
B. Yes,gsincegthegheightgofgthegdotplotgaboveg45gisgsmallergthangthegheightgofgt
hegdotplotgaboveg40.
C. No,gsinceg45gisgagfairlygtypicalgoutcomegifgthegcolorgofgthegwinner‘sguniformg
wasgdeterminedgbygchancegalone.
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, IntroductiongtogFinancialgStatements 1-3
D. No,gsincegwegcouldghavegobservedgagvalueggreatergthang45gjustgbygrandomgchance.
Ans:gC;gLO:g1.1-4;gDifficulty:gMedium;gType:gMC
4. Whatgcangwegconcludegfromgthegresultsgofgthisgstudy?gSelectgallgthatgapply.
A. Thegresultsgofgthisgstudygaregsomethinggthatgcouldgeasilyghaveghappenedgifgt
hegcolorgofgthegwinner‘sguniformgwasgdeterminedgbygchancegalone.
B. Wegdognotghavegconvincinggevidencegagainstgtheg―by-chance-alone‖gmodel.
C. Thegresultsgofgthisgstudygprovegthatgthegcolorgofgthegwinner‘sguniformgw
asgdeterminedgbygchancegalone.
D. Wegdognotghavegconvincinggevidencegthatgredguniformgwearersgtendgtogwingmo
regoftengthangthosegwearinggblueguniforms.
Ans:gA,gB,gD;gLO:g1.1-6;gDifficulty:gHard;gType:gMS
Questionsg5gthroughg8:
Supposegyougaregtestinggtogseegifgyourgdog,gHope,gunderstandsgpointinggtowardsgangobject.gYo
ugplacegtwogobjectsgaboutg2.5gmetersgaway,gthengyougpointgtowardsgonegofgthegobjects.gIng20gtri
als,gHopeggoesgtogthegcorrectgobjectg13gtimesg(org65%).
5. FillgingthegblanksgwithgthegcorrectgOnegProportiongappletginputsgtogcarrygoutgangappropri
ategsimulationgofgthisgprocess,gifgHopegdoesgnotgunderstandgpointinggtowardsgangobjectg
andgisgjustgguessing.
Probabilitygofgsuccess:g
gSampleg
size:g
Numbergofg samples:g
Ans:g0.5g(Tol:g0),g20g(Tol:g0),gAnygintegergasglargergorglargergthang1000;gLO:g1.1-
3;gDifficulty:gEasy;gType:gTE-N
6. Matchgthegpartsgofgthegrealgstudygcorrespondinggtogthegphysicalg(coin-flipping)gsimulation:
Coingflipg=g A. 0.5,gprobabilitygofgHopeggoinggtogth
egcorrectgobject
gH
B. Hopeggoinggtogthegcorrectgobject
eadsg=g
C. Hopeggoinggtogthegincorrectgobject
gT
D. Onegsetgofg20gattemptsgbygHope
ailsg=g
E. Hopeggoinggtogangobject
Chancegofgheadsg=g
gO
negrepetitiong=g
Ans:gE,gB,gC,gA,gD;gLO:g1.1-2;gDifficulty:gMedium;gType:gMa
FORgINSTRUCTORgUSEgONL
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, 1-4 TestgBankgforgIntroductiongtogStatisticalgInvestigations,g2ndgEditio
n
7. GivengbelowgisgthegresultinggsimulationgdistributiongfromgthegOnegProportiongapplet.gBas
edgongthisgsimulation,gdogweghavegconvincinggevidencegagainstgthegobservedgstudygres
ultsghappeninggbygchancegalone?
A. No,gsinceg0.65gisgagfairlygtypicalgoutcomegifg Hopegwasgjustgguessing.
B. No,gsincegwegcouldghavegobservedgagvalueggreatergthang0.65gjustgbygrand
omgchance.
C. Yes,gsinceg0.65gisglargergthang0.5.
D. Yes,gsincegthegheightgofgthegdotplotgaboveg0.65gisgsmallergthangthegheightgofgt
hegdotplotgaboveg0.5.
Ans:gA;gLO:g1.1-5;gDifficulty:gMedium;gType:gMC
8. WhichgofgthegfollowinggisgNOTgagstepgingtheg3SgStrategygforgmeasuringgstrength
gofgevidence?
A. Strengthgofgevidence
B. Statistic
C. Sample
D. Simulate
Ans:gC;gLO:g1.1-5;gDifficulty:gEasy;gType:gMC
Questionsg9gthroughg12:
TruegorgFalse?
9. Agparametergisgagnumbergsummarizinggthegresultsgingthegsample.
Ans:gFalse;gLO:g1.1-1;gDifficulty:gEasy;gType:gTF
10. Agresultgthatgisgunlikelygtogoccurgjustgbygchancegalonegisgcalledgstatisticallygsignificant.
Ans:gTrue;gLO:g1.1-4;gDifficulty:gEasy;gType:gTF
11. Ifgangobservedgstatisticgisgstatisticallygsignificant,gthengweghavegstronggevidencegthatgt
hegchance-alonegexplanationgisgcorrect.
Ans:gFalse;gLO:g1.1-5;gDifficulty:gMedium;gType:gTF
12. IfgangobservedgstatisticgisgNOTgstatisticallygsignificant,gthengthegchancegmodelgisgplausible.
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