STAT1008 Lecture 12: Hypothesis Testing Summary

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2 Jun 2018
School
Department
Course
Professor
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1 sample T test
Hypotheses
T.S
D.R.
Compare to T dist
with (n-1) df.
C.I.
Assume
0
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~N by CLT.
1 sample
2 samples
Means
Proportions
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known
A
unknown
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1 sample Z test
Hypotheses
T.S:
D.R.
Compare to Z~N(0,1)
C.I.
Assume
0
$
7
~N by CLT.
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Hypotheses
T.S.
D.R.
Compare to Z~N(0,1)
C.I.
Assume n>50,100 (for CLT).
For CI, p not close to 0 or 1
Means
Variances
Proportions
independent
paired
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7
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SI
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Two Sampled T
-
test
Pool sample variances
Hypotheses
T.S.
D.R.
Compare to T distribution with
C.I
Assume both sample averages are normally
distributed by CLT.
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Calculate
column of
differences; calculate
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^
+01
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first
Hypotheses
T.S
D.R.
Compare to X
9Y
_
;M=
VW
C.I
Assume average of sample
differences is normally
distributed by CLT.
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Hypotheses
T.S.
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Z
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> 1
D.R.
Compare to
b
9Y
Z
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9Y
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Assume both
populations
normally
distributed [NOT
CLT]
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SI
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K
=
Hypotheses
T.S.
Pooled sample proportion
D.R.
Compare to Z dist
Assume independent samples
and can be approximated by
CLT (both samples sufficiently
large).
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