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Statistics
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STAT 2040
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Jeremy Balka
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Lecture 9

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Statistics

STAT 2040

Jeremy Balka

Winter

Description

ntroduction
Lectures
main types of statistica e inference pro
Translate queston of Interest
Into hyp
s teating.
A h
e test.
bout
paramet then carr
-naos usefne when ve Stiga
rekacions nips between variablky
alternati
hypothesis, a, is hypotesis researchur 's hopy to
Show 3akea, research,
hypothe 3 no of effect or no difference
nwu hypothesis arven beneft of doubt
start
ness testim consists of
H forunnlatma a nudi hypothesis CH alternative hyfethess Crta)
Are based on research quashon
of Aterear, e not on baerved
Le doula.
savup
choos g calcula di
appropriate test stansmc.Yalne oF test
bused
area
Statrstt.
4 na ent of str
of evidenca against mun hapatiesis,
alue sta hync
baaed on
ery InterpreHAa results
in context
of prob
at hand
9.3-Hypothesis Tests for Rp m
hen 5 Known
ass Named me
distrb der
pop Matta
with kn
value of p
stian standard dev ath
9.3
ade -tt
these
s there ev dence that
peop n ,n differs fr
a
hyp thes zed
He M M
here M represents
mu h
thesis
represents h
partne sized vai
pap uatian and Me
te est
ouse cne of 3 a Hernati
fed
-Ha: M M. (one-sided tailed alternative)
sided ctwo tautay alternative)
a 3.2- Test Statistic
muy distribute
Hleads to appropriate test satistic to test tho M Mo
/n) standard den
Hon of
bare ned valne of test teas ho
man standard.
hypothesizd
The z test
statistic he
standard
normal distributi
hen San Pir
popu Lotan and
cate test statisH
percp
f observed
-e of test statisti
value from SA
eth.
nekur zero
hat's
f observed
value is extreme ,say extreue evidence.
agaast ide
far
be to be
dered extr
ntroduction Lectures main types of statistica e inference pro Translate queston of Interest Into hyp s teating. A h e test. bout paramet then carr -naos usefne when ve Stiga rekacions nips between variablky alternati hypothesis, a, is hypotesis researchur 's hopy to Show 3akea, research, hypothe 3 no of effect or no difference nwu hypothesis arven beneft of doubt start ness testim consists of H forunnlatma a nudi hypothesis CH alternative hyfethess Crta) Are based on research quashon of Aterear, e not on baerved Le doula. savup choos g calcula di appropriate test stansmc.Yalne oF test bused area Statrstt. 4 na ent of str of evidenca against mun hapatiesis, alue sta hync baaed on ery InterpreHAa results in context of prob at hand 9.3-Hypothesis Tests for Rp m hen 5 Known ass Named me distrb der pop Matta with kn value of p stian standard dev ath 9.3 ade -tt these s there ev dence that peop n ,n differs fr a hyp thes zed He M M here M represents mu h thesis represents h partne sized vai pap uatian and Me te est ouse cne of 3 a Hernati fed -Ha: M M. (one-sided tailed alternative) sided ctwo tautay alternative) a 3.2- Test Statistic muy distribute Hleads to appropriate test satistic to test tho M Mo /n) standard den Hon of bare ned valne of test teas ho man standard. hypothesizd The z test statistic he standard normal distributi hen San Pir popu Lotan and cate test statisH percp f observed -e of test statisti value from SA eth. nekur zero hat's f observed value is extreme ,say extreue evidence. agaast ide far be to be dered extrapp
method
ure ech
thed
Testi
3.3 Reyecto
to deter
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of resecting
often O.osy
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2. Find appropriate.
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ejection
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/divid
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crtice e Val
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cf ok.
severe factors
a 3,4 P
ues
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takes
e off strength
f evidence
S the
test statTS
out as extreme as
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true.
ewide
Finding P
nes
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evide
ve Straw
St
p valne.
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further to left
PC 2.
a.S -interpret a
decis
need
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t test
a 5
aren Ho is True.
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Ve
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it H
st tt
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st tt
hen
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tude F differen e b
t cfr
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reuter
Setup
hypothesized
app method ure ech thed Testi 3.3 Reyecto to deter es fo Alat step De 1. Decide of resecting often O.osy d is probab tito to be 2. Find appropriate. atnesis test thesis. ejection stanshe falls /divid point bet crtice e Val don't depend dependent cf ok. severe factors a 3,4 P ues to consideration h takes e off strength f evidence S the test st

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