h 0 : h 1 : α = decision rule: if then do not reject h 0 , otherwise reject h 0 . test statistic:
DESCRIPTION
H 0 : H 1 : α = Decision Rule: If then do not reject H 0 , otherwise reject H 0 . Test Statistic: Decision: Conclusion: We have found ________________ evidence at the _____ level of significance that. H 0 : H 1 : α = Decision Rule: If - PowerPoint PPT PresentationTRANSCRIPT
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that
.03
.03
© Buddy Freeman, 2015
H0:
H1:
α = .03
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the .03 level of significance that the percentage of account balances exceeding $100,000 exceeds five percent.
p > .05
p = .05
© Buddy Freeman, 2015
level of data?
Sign Test*pp. 631-634
ordinal
Parameter ?
meanor
median
proportion
varianceor
standard deviation Normal
population?
yes
no?
chi-square (df = n-1)pp. 336-344
t with df = n-1pp. 288-294
Wilcoxon Signed-Ranks*pp. 610-614(assumes population is symmetric)
known?
yes
Normalpopulation
?
no
Normalpopulation
?
yes
noyesn > 30
?
yes
no
Z using σpp. 277-284
1 Group Flowchart
at leastinterval
np > 5and
n(1- p) > 5?
Binomial/Hypergeometric
yes
no
Zpp. 294-298
Critical Value(s)Table
Z-table
WSRTable
t-table
Sign Table
Z-table
BinomialTable
Chi-squareTable
Wald-WolfowitzOne-Sample RunsTest for Randomnesspp. 634-638
2
3
4
5
6
7
1
* means coverage is different from text.
non > 30
?
yes
no
Jaggia and Kelly(1st edition)
Default case
© Buddy Freeman, 2015
H0:
H1:
α = .03
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:Conclusion: We have found ________________ evidence at the .03 level of significance that the percentage of account balances exceeding $100,000 exceeds five percent.
p > .05
p = .05
npp
ppZ
)1( 00
0
© Buddy Freeman, 2015
H0:
H1:
α = .03
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:Conclusion: We have found ________________ evidence at the .03 level of significance that the percentage of account balances exceeding $100,000 exceeds five percent.
p > .05
p = .05
Reject H0.03Do not reject H0
.4700
Z = 1.880
npp
ppZ
)1( 00
0
© Buddy Freeman, 2015
H0:
H1:
α = .03
Decision Rule:
If Zcomputed < 1.88
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:Conclusion: We have found ________________ evidence at the .03 level of significance that the percentage of account balances exceeding $100,000 exceeds five percent.
p > .05
p = .05
Reject H0.03Do not reject H0
.4700
Z = 1.880
npp
ppZ
)1( 00
0
© Buddy Freeman, 2015
H0:
H1:
α = .03
Decision Rule:
If Zcomputed < 1.88
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:Conclusion: We have found ________________ evidence at the .03 level of significance that the percentage of account balances exceeding $100,000 exceeds five percent.
p > .05
p = .05
Reject H0.03Do not reject H0
.4700
Z = 1.880
Do not reject H0
Do not reject H0.insufficient
92.0
10005.105.
05.100
7
)1( 00
0
npp
ppZ