Ch17 Sample Size
-
Upload
03322080738 -
Category
Documents
-
view
224 -
download
0
Transcript of Ch17 Sample Size
![Page 1: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/1.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 1/67
Business
Research Methods
William G. Zikmund
Chapter 17:
Determination of Sample Sie
![Page 2: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/2.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 2/67
What does Statistics Mean!
" Descripti#e statistics
$ %um&er of people
$ 'rends in emplo(ment
$ Data
" )nferential statistics
$ Make an inference a&out a population from a
sample
![Page 3: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/3.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 3/67
Population Parameter VersusSample Statistics
![Page 4: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/4.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 4/67
*opulation *arameter
" +aria&les in a population
" Measured characteristics of a population
" Greek lo,er-case letters as notation
![Page 5: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/5.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 5/67
Sample Statistics
" +aria&les in a sample
" Measures computed from data
" n/lish letters for notation
![Page 6: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/6.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 6/67
Makin/ Data 0sa&le
" re2uenc( distri&utions
" *roportions
" Central tendenc(
$ Mean
$ Median
$ Mode
" Measures of dispersion
![Page 7: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/7.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 7/67
Frequency (number of
people making deposits Amount in each range)
less than $3,000 4$3,000 ! $4, "30
$",000 ! $, "#$%0,000 ! $%4, &%'$%",000 or more '%%
3,%0
re2uenc( Distri&ution of
Deposits
![Page 8: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/8.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 8/67
Amount
ercentless than $3,000 %#$3,000 ! $4, %&$",000 ! $, %'$%0,000 ! $%4, 3
$%",000 or more #%00
*ercenta/e Distri&ution of
3mounts of Deposits
![Page 9: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/9.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 9/67
Amount robability
less than $3,000 %#$3,000 ! $4, %&
$",000 ! $, %'$%0,000 ! $%4, 3
$%",000 or more #
*ro&a&ilit( Distri&ution of
3mounts of Deposits
![Page 10: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/10.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 10/67
Measures of Central 'endenc(
" Mean - arithmetic a#era/e
$ 45 *opulation6 5 sample
" Median - midpoint of the distri&ution
" Mode - the #alue that occurs most often
X
![Page 11: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/11.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 11/67
*opulation Mean
N X iΣ= µ
![Page 12: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/12.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 12/67
n X X
i
Σ=
Sample Mean
![Page 13: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/13.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 13/67
*umber of +alesperson +ales calls
ike 4atty 3-illie -ob "
.ohn 3Frank 3/huck %+amantha "
#
%um&er of Sales Calls *er Da(
&( Salespersons
![Page 14: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/14.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 14/67
roduct A roduct -
%#%"0
%'%#0%%&#%
%'%00%00
0000
Sales for *roducts 3 and B5
Both 3#era/e 88
![Page 15: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/15.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 15/67
Measures of Dispersion
" 'he ran/e
" Standard de#iation
![Page 16: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/16.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 16/67
Measures of Dispersion
or Spread" Ran/e
"Mean a&solute de#iation
" +ariance
" Standard de#iation
![Page 17: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/17.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 17/67
'he Ran/e
as a Measure of Spread" 'he ran/e is the distance &et,een the smallest
and the lar/est #alue in the set.
" Ran/e 9 lar/est #alue $ smallest #alue
![Page 18: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/18.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 18/67
De#iation Scores
" 'he differences &et,een each o&ser#ation
#alue and the mean:
x xd ii −=
![Page 19: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/19.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 19/67
%"0 %#0 %&0 %'0 %0 00 %0
"
4
3
%
o1 2ispersion
alue on ariable
F r e q u
e n c y
o, Dispersion +erses ;i/h
Dispersion
![Page 20: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/20.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 20/67
%"0 %#0 %&0 %'0 %0 00 %0
"
4
3
%
F r e q u
e n c y
igh dispersion
alue on ariable
o, Dispersion +erses ;i/h
Dispersion
![Page 21: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/21.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 21/67
3#era/e De#iation
8<= =∑ −
n
X X i
![Page 22: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/22.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 22/67
Mean S2uared De#iation
n
X X i
∑ −
7
<=
![Page 23: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/23.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 23/67
'he +ariance
7
7
S
Sample
Population
σ
![Page 24: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/24.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 24/67
+ariance
1
<
−
−(Σ=n
X X S
![Page 25: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/25.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 25/67
+ariance
" 'he #ariance is /i#en in s2uared units
" 'he standard de#iation is the s2uare root of
#ariance:
![Page 26: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/26.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 26/67
Sample Standard De#iation
( )1
7
−
−Σ=
n
X X iS
![Page 27: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/27.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 27/67
*opulation Standard De#iation
σ σ =
![Page 28: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/28.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 28/67
Sample Standard De#iation
S S =
![Page 29: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/29.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 29/67
Sample Standard De#iation
( )1
7
−
−Σ=
n
X X iS
![Page 30: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/30.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 30/67
'he %ormal Distri&ution
" %ormal cur#e
" Bell shaped
" 3lmost all of its #alues are ,ithin plus or
minus > standard de#iations
" ).?. is an e@ample
![Page 31: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/31.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 31/67
M3%
%ormal Distri&ution
![Page 32: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/32.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 32/67
2.14%
13.59%34.13% 34.13% 13.59%
2.14%
%ormal Distri&ution
![Page 33: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/33.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 33/67
85 115100 14570
%ormal Cur#e: )? @ample
![Page 34: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/34.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 34/67
Standardied %ormal Distri&ution
" S(metrical a&out its mean
" Mean identifies hi/hest point
" )nfinite num&er of cases - a continuousdistri&ution
" 3rea under cur#e has a pro&a&ilit( densit( 9 1.8
" Mean of ero5 standard de#iation of 1
![Page 35: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/35.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 35/67
Standard %ormal Cur#e
" 'he cur#e is &ell-shaped or s(mmetrical
" 3&out A of the o&ser#ations ,ill fall ,ithin
1 standard de#iation of the mean" 3&out E of the o&ser#ations ,ill fall ,ithin
appro@imatel( =1.A< standard de#iations of
the mean" 3lmost all of the o&ser#ations ,ill fall ,ithin
> standard de#iations of the mean
![Page 36: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/36.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 36/67
8 1-1-
3 Standardied %ormal Cur#e
![Page 37: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/37.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 37/67
'he Standardied %ormal is the
Distri&ution of Z
–z +z
![Page 38: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/38.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 38/67
σ µ −= x z
Standardied Scores
![Page 39: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/39.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 39/67
σ
µ −= x
z
Standardied +alues
" 0sed to compare an indi#idual #alue to the
population mean in units of the standard
de#iation
![Page 40: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/40.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 40/67
"Population distribution
"Sample distribution
"Sampling distribution
![Page 41: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/41.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 41/67
µ @σ−σ
*opulation Distri&ution
![Page 42: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/42.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 42/67
_ Χ FS
Sample Distri&ution
![Page 43: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/43.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 43/67
X S X X
µ
Samplin/ Distri&ution
![Page 44: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/44.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 44/67
Standard rror of the Mean
" Standard de#iation of the samplin/
distri&ution
![Page 45: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/45.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 45/67
Central imit 'heorem
![Page 46: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/46.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 46/67
Standard rror of the Mean
n
S x
σ =
![Page 47: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/47.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 47/67
Distri&ution Mean StandardDe#iation
*opulation µ σ Sample
X S
Samplin/ X
µ X
S
![Page 48: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/48.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 48/67
*arameter stimates
" *oint estimates
" Confidence inter#al estimates
![Page 49: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/49.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 49/67
error samplin/smalla X ±= µ
Confidence )nter#al
![Page 50: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/50.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 50/67
X cl S Z =.RRR S3M*:)%GSM3::
![Page 51: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/51.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 51/67
X cl S Z =.
![Page 52: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/52.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 52/67
.±= X µ
ti ti th St d d f
![Page 53: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/53.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 53/67
stimatin/ the Standard rror of
the Mean
nS S
x =
![Page 54: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/54.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 54/67
n
S Z X cl ±= µ
![Page 55: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/55.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 55/67
Random Sampling Error and
Sample Size are Related
![Page 56: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/56.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 56/67
Sample Sie
" +ariance =standard
de#iation<
" Ma/nitude of error " Confidence le#el
![Page 57: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/57.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 57/67
Sample Sie ormula
= E zsn
![Page 58: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/58.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 58/67
Sample Sie ormula - @ample
Suppose a sur#e( researcher5 stud(in/
e@penditures on lipstick5 ,ishes to ha#e a
E percent confident le#el =Z< and a
ran/e of error =< of less than H.88. 'he
estimate of the standard de#iation is
H.88.
![Page 59: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/59.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 59/67
7
s
n
= ( ) ( )
7
88.7
88.7DDA.1
=
7
88.7
BI.EA
= ( ) 7I7.7B= B8B=
Sample Sie ormula - @ample
![Page 60: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/60.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 60/67
Suppose5 in the same e@ample as the one
&efore5 the ran/e of error =< is
accepta&le at HI.885 sample sie is
reduced.
Sample Sie ormula - @ample
![Page 61: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/61.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 61/67
7
sn
= ( ) ( )
7
88.I
88.7DDA.1
=
7
88.IBI.EA
= ( ) 771.1I= 787=
Sample Sie ormula - @ample
![Page 62: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/62.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 62/67
99% Confidence
Calculatin/ Sample Sie
[ ]%3'= #"3&
=
"3&4
=
))("&(n
=
]34&=[ #3"%'
=
4"3&4
=
4))("&(n
=
![Page 63: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/63.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 63/67
n
p p
or
n
pq p s
<1=
−
=
Standard rror of the *roportion
![Page 64: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/64.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 64/67
pcl S Z p ±
Confidence )nter#al for a
*roportion
![Page 65: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/65.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 65/67
E pq Z n =
Sample Sie for a *roportion
![Page 66: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/66.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 66/67
5pq6
n =
Where:
n 9 %um&er of items in samples
Z 9 'he s2uare of the confidence inter#al
in standard error units.
p 9 stimated proportion of success
2 9 =1-p< or estimated the proportion of failures
9 'he s2uare of the ma@imum allo,ance for error
&et,een the true proportion and sample proportion
or s p s2uared.
![Page 67: Ch17 Sample Size](https://reader031.fdocument.pub/reader031/viewer/2022021118/5695d2751a28ab9b029a7f4c/html5/thumbnails/67.jpg)
7/24/2019 Ch17 Sample Size
http://slidepdf.com/reader/full/ch17-sample-size 67/67
Calculatin/ Sample Sie
at the E Confidence e#el
&"3= 00%"
=
00%"
)4)('4%#3(=)03"(
)4)(#()#%(n
4q
#p
=
=
=