LECTURE PREP 02 TYPE I & TYPE II
ERRORS QUESTIONS WITH COMPLETE
ANSWERS
Is hhthe hhfollowing hhstatement hhtrue hhor hhfalse? hhIf hhfalse, hhexplain hhbriefly. hhThe
hhalpha hhlevel hhdepends hhon hhthe hhsample hhsize.
A) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhis hhset hhindependently
hhand hhdoes hhnot hhdepend hhon hhthe hhsample hhsize.
B) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhdepends hhon hhthe hhp-
value, hhnot hhthe hhsample hhsize.
C) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhdepends hhon hhthe hhtest
hhstatistic, hhnot hhthe hhsample hhsize.
D) hhThe hhstatement hhis hhtrue. hh- hhAnswer hhA) hhThe hhstatement hhis hhfalse hhbecause
hhthe hhalpha hhlevel hhis hhset hhindependently hhand hhdoes hhnot hhdepend hhon hhthe
hhsample hhsize.
Is hhthe hhfollowing hhstatement hhtrue hhor hhfalse? hhIf hhfalse, hhexplain hhbriefly. hhIf hhwe
hhuse hhan hhalpha hhlevel hhof hh0.01, hha hhp-value hhof hh0.001 hhis hhstatistically
hhsignificant.
A) hhTrue.
B) hhFalse. hhIf hhwe hhuse hhan hhalpha hhlevel hhof hh0.01, hhthen hha hhz-score hhof hh0.001
hhis hhsignificant.
C) hhFalse. hhAn hhalpha hhlevel hhof hh0.01 hhgives hhn hhsignificance hhto hha hhp-value hhof
hh0.001.
D) hhFalse. hhA hhp-value hhof hh0.001 hhwould hhnot hhbe hhsignificant hhsince hhit hhis hhless
hhthan hhalpha. hh- hhAnswer hhA) hhTrue.
A hhbank hhwants hhto hhknow hhif hhthe hhenrollment hhon hhtheir hhwebsite hhis hhabove
hh30% hhbased hhon hha hhsmall hhsample hhof hhcustomers. hhThey hhtest hhHo: hhp hh= hh0.3
hhvs. hhHa: hhp hh> hh0.3 hhand hhreject hhthe hhnull hhhypothesis. hhLater hhthey hhfind hhout
hhthat hhactually hh28% hhof hhall hhcustomers hhenrolled. hhHas hha hhType hhI hherror hhor
hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhbank hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhis hhnot hhgreater
hhthan hh0.3 hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
B) hhThe hhbank hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhis hhnot hhgreater
hhthan hh0.3 hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
, C) hhThe hhbank hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhis hhnot hhequal hhto
hh0.3 hhand hhthey hhrejected hhthe hhnull hhhypothesis.
D) hhThe hhbank hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhis hhclose hhto hh0.3
hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
E) hhThe hhbank hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhis hhclose hhto hh0.3
hhbut hhthey hhrejected hhthe hhnull hhhypothesis. hh- hhAnswer hhB) hhThe hhbank hhmade hha
hhType hhI hherror. hhThe hhactual hhvalue hhis hhnot hhgreater hhthan hh0.3 hhbut hhthey
hhrejected hhthe hhnull hhhypothesis.
A hhstudent hhtests hh100 hhstudents hhto hhdetermine hhwhether hhother hhstudents hhon
hhher hhcampus hhprefer hhsoda hhbrand hhA hhor hhsoda hhbrand hhB hhand hhfinds hhno
hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hhnot hh0.5. hhLater, hha hhmarketing
hhcompany hhtests hhall hhstudents hhon hhcampus hhand hhfinds hhno hhdifference. hhHas hha
hhType hhI hherror hhor hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhstudent hhmade hha hhType hhII hherror. hhShe hhfound hhno hhevidence hhthat
hhpreference hhfor hhbrand hhA hhis hhnot hha hhcertain hhvalue, hhbut hhthe hhmarketing
hhcompany hhfound hhno hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hha hhcertain
hhvalue.
B) hhThe hhstudent hhmade hha hhType hhII hherror. hhShe hhdid hhnot hhreject hhthe hhnull
hhhypothesis.
C) hhThe hhstudent hhmade hha hhType hhI hherror. hhShe hhfound hhno hhevidence hhthat
hhpreference hhfor hhbrand hhA hhis hhnot hha hhcertain hhvalue, hhbut hhthe hhmarketing
hhcompany hhfound hhno hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hha hhcertain
hhvalue.
D) hhThe hhstudent hhmade hha hhType hhI hherror. hhShe hhdid hhnot hhreject hhthe hhnull
hhhypothesis.
E) hhThe hhstudent hhdid hhnot hhmake hhan hherror. hhThe hhactual hhv hh- hhAnswer hhE) hhThe
hhstudent hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhis hh0.50, hhwhich hhwas
hhnot hhrejected.
A hhhuman hhresource hhanalyst hhwants hhto hhknow hhif hhthe hhapplicants hhthis hhyear
hhscore, hhon hhaverage, hhhigher hhon hhtheir hhplacement hhexam hhthan hhthe hh52.5
hhpoints hhthe hhcandidates hhaveraged hhlast hhyear. hhShe hhsamples hh50 hhrecent hhtests
hhand hhfinds hhthe hhaverage hhto hhbe hh54.1 hhpoints. hhShe hhfails hhto hhreject hhthe hhnull
hhhypothesis hhthat hhthe hhmean hhis hh52.5 hhpoints. hhAt hhthe hhend hhof hhthe hhyear,
hhthey hhfind hhthat hhthe hhcandidates hhthis hhyear hhhad hha hhmean hhof hh55.3 hhpoints.
hhHas hha hhType hhI hherror hhor hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhanalyst hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhclose hhto hh52.5.
B) hhThe hhanalyst hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhgreater hhthan hh52.5.
C) hhThe hhanalyst hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhclose hhto hh52.5.
ERRORS QUESTIONS WITH COMPLETE
ANSWERS
Is hhthe hhfollowing hhstatement hhtrue hhor hhfalse? hhIf hhfalse, hhexplain hhbriefly. hhThe
hhalpha hhlevel hhdepends hhon hhthe hhsample hhsize.
A) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhis hhset hhindependently
hhand hhdoes hhnot hhdepend hhon hhthe hhsample hhsize.
B) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhdepends hhon hhthe hhp-
value, hhnot hhthe hhsample hhsize.
C) hhThe hhstatement hhis hhfalse hhbecause hhthe hhalpha hhlevel hhdepends hhon hhthe hhtest
hhstatistic, hhnot hhthe hhsample hhsize.
D) hhThe hhstatement hhis hhtrue. hh- hhAnswer hhA) hhThe hhstatement hhis hhfalse hhbecause
hhthe hhalpha hhlevel hhis hhset hhindependently hhand hhdoes hhnot hhdepend hhon hhthe
hhsample hhsize.
Is hhthe hhfollowing hhstatement hhtrue hhor hhfalse? hhIf hhfalse, hhexplain hhbriefly. hhIf hhwe
hhuse hhan hhalpha hhlevel hhof hh0.01, hha hhp-value hhof hh0.001 hhis hhstatistically
hhsignificant.
A) hhTrue.
B) hhFalse. hhIf hhwe hhuse hhan hhalpha hhlevel hhof hh0.01, hhthen hha hhz-score hhof hh0.001
hhis hhsignificant.
C) hhFalse. hhAn hhalpha hhlevel hhof hh0.01 hhgives hhn hhsignificance hhto hha hhp-value hhof
hh0.001.
D) hhFalse. hhA hhp-value hhof hh0.001 hhwould hhnot hhbe hhsignificant hhsince hhit hhis hhless
hhthan hhalpha. hh- hhAnswer hhA) hhTrue.
A hhbank hhwants hhto hhknow hhif hhthe hhenrollment hhon hhtheir hhwebsite hhis hhabove
hh30% hhbased hhon hha hhsmall hhsample hhof hhcustomers. hhThey hhtest hhHo: hhp hh= hh0.3
hhvs. hhHa: hhp hh> hh0.3 hhand hhreject hhthe hhnull hhhypothesis. hhLater hhthey hhfind hhout
hhthat hhactually hh28% hhof hhall hhcustomers hhenrolled. hhHas hha hhType hhI hherror hhor
hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhbank hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhis hhnot hhgreater
hhthan hh0.3 hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
B) hhThe hhbank hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhis hhnot hhgreater
hhthan hh0.3 hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
, C) hhThe hhbank hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhis hhnot hhequal hhto
hh0.3 hhand hhthey hhrejected hhthe hhnull hhhypothesis.
D) hhThe hhbank hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhis hhclose hhto hh0.3
hhbut hhthey hhrejected hhthe hhnull hhhypothesis.
E) hhThe hhbank hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhis hhclose hhto hh0.3
hhbut hhthey hhrejected hhthe hhnull hhhypothesis. hh- hhAnswer hhB) hhThe hhbank hhmade hha
hhType hhI hherror. hhThe hhactual hhvalue hhis hhnot hhgreater hhthan hh0.3 hhbut hhthey
hhrejected hhthe hhnull hhhypothesis.
A hhstudent hhtests hh100 hhstudents hhto hhdetermine hhwhether hhother hhstudents hhon
hhher hhcampus hhprefer hhsoda hhbrand hhA hhor hhsoda hhbrand hhB hhand hhfinds hhno
hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hhnot hh0.5. hhLater, hha hhmarketing
hhcompany hhtests hhall hhstudents hhon hhcampus hhand hhfinds hhno hhdifference. hhHas hha
hhType hhI hherror hhor hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhstudent hhmade hha hhType hhII hherror. hhShe hhfound hhno hhevidence hhthat
hhpreference hhfor hhbrand hhA hhis hhnot hha hhcertain hhvalue, hhbut hhthe hhmarketing
hhcompany hhfound hhno hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hha hhcertain
hhvalue.
B) hhThe hhstudent hhmade hha hhType hhII hherror. hhShe hhdid hhnot hhreject hhthe hhnull
hhhypothesis.
C) hhThe hhstudent hhmade hha hhType hhI hherror. hhShe hhfound hhno hhevidence hhthat
hhpreference hhfor hhbrand hhA hhis hhnot hha hhcertain hhvalue, hhbut hhthe hhmarketing
hhcompany hhfound hhno hhevidence hhthat hhpreference hhfor hhbrand hhA hhis hha hhcertain
hhvalue.
D) hhThe hhstudent hhmade hha hhType hhI hherror. hhShe hhdid hhnot hhreject hhthe hhnull
hhhypothesis.
E) hhThe hhstudent hhdid hhnot hhmake hhan hherror. hhThe hhactual hhv hh- hhAnswer hhE) hhThe
hhstudent hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhis hh0.50, hhwhich hhwas
hhnot hhrejected.
A hhhuman hhresource hhanalyst hhwants hhto hhknow hhif hhthe hhapplicants hhthis hhyear
hhscore, hhon hhaverage, hhhigher hhon hhtheir hhplacement hhexam hhthan hhthe hh52.5
hhpoints hhthe hhcandidates hhaveraged hhlast hhyear. hhShe hhsamples hh50 hhrecent hhtests
hhand hhfinds hhthe hhaverage hhto hhbe hh54.1 hhpoints. hhShe hhfails hhto hhreject hhthe hhnull
hhhypothesis hhthat hhthe hhmean hhis hh52.5 hhpoints. hhAt hhthe hhend hhof hhthe hhyear,
hhthey hhfind hhthat hhthe hhcandidates hhthis hhyear hhhad hha hhmean hhof hh55.3 hhpoints.
hhHas hha hhType hhI hherror hhor hhType hhII hherror hhbeen hhmade? hhOr hhno hherror?
A) hhThe hhanalyst hhmade hha hhType hhI hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhclose hhto hh52.5.
B) hhThe hhanalyst hhmade hha hhType hhII hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhgreater hhthan hh52.5.
C) hhThe hhanalyst hhdid hhnot hhmake hhan hherror. hhThe hhactual hhvalue hhwas hh55.3
hhpoints, hhwhich hhis hhclose hhto hh52.5.
