2010-05-29_145847_Hospital

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Use the following situation for Questions 34 – 38. The director of a regional hospital is interested in

50/250 - 69/300 = -0.03

(It would be more common here to take the current proportion - the previou proportion and

35. %he pooled proportion ha a value o# &. 0.2'6 . - 0.2'6 ). '.6*5 +. 0.5

(50 " 69$/(250 " 300$ = 0.2'6

36. %he interet o# the director repreent a &. one tailed tet . two tailed tet ). one tailed or a two tail

3. %he tet tatitic #or thi tet i &. '.6*5 . '.96 ). 0.035 +. - 0.5'

0.230 0.200

ooled proportion 0.2'6*

tandard error o# p di##erence 0.0353

%et tatitic -0.5'

3. I# the tet i to be done with an a =.05 the &. null h1pothei hould be reected . null h1pothei

critical value = -'.6*5

ince -0.5 4 -'.65 the null h1pothei hould not be reected. %he actual reaon hould be that 0.5 '.65 baed on the introduction to the problem.

hether 0.5 i poitive or ne!ative, the proportion are too cloe to warrant reectin! the n

39. 7e!reion anal1i wa applied between demand #or a product (8$ and the price o# the product ($

%he coe##icient o# , -'0, determine the increae in 8 per unit increae in .

%here#ore a 2 unit increae in !ive a 20 unit decreae in 8.

*0. I# there i a ver1 tron! correlation between two variable, then the coe##icient o# correlation mut b

+. one o# thee alternative i correct.

*'. 7e!reion anal1i wa applied between ale (in <'000$ and advertiin! (in <'00$ and the #ollowi

&dvertiin! i '0,000 implie ='008 = 500 "*('00$ = 900

8 = 900 implie ale = <900,000

e the #ollowin! ituation #or >uetion *2 ? *6. 8ou are !iven the #ollowin! in#ormation about 1 and ;.

*2. %he leat :uare etimate o# b' e:ual &. -0.6* . -0.'3 ). 2'.* +. '6.*'2

%he wa1 the :uetion #ormattin! wa tran#erred it i unclear 1 ;

which value are #or ; and 1 o make ure m1 chart i correct. 5 '5

'2

9 '0

n = * ''

um 32 **

b' = (326 - (32$(**$/*$/(5' - **A2/*$ =

*3. %he leat :uare etimate o# b0 e:ual &. -0.6* . -'.3 ). '6*.''6 +. '6.*''6

b0 = ('/*$(32-(-0.6*$(**$$ =

**. %he ample correlation coe##icient e:ual &. -6.66 . -0.9905 ). 0.99*' +. 0.9905

Interet in increase implie one-tailed tet.

p etimate

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(326 - 32(**$/*$/:rt((5' - **A2/*$(26 - 3

*5. %he coe##icient o# determination e:ual &. -0.9905 . -0.99*' ). 0.99*' +. 0.9905

(-0.9905$A2 = 0.99*'

*6. & reearcher elected a ample o# 50 reident #rom each o# three di##erent citie to determine i# the

)it1 ' )it1 2 )it1 3 7ow %otal

illin! 20 '2 22 5*

nwillin! 30 3 2 96

)ol %otal 50 50 50 '50

)ol' )ol2 )ol3

7ow' '.0 '.0 '.0

7ow2 32.0 32.0 32.0

Contribution to chi-squared test statistic

)ol' )ol2 )ol3

7ow' 0.22 2.00 0.9

7ow2 0.'3 '.'3 0.50

)hi-:uared %et tatitic *.6'

+e!ree o# Breedom 2

C 0.050

)ritical @alue 5.99'

&. %here i not evidence to reect the claim that the proportion are e:ual becaue the tet v

*. & reearcher i comparin! ample #rom 6 di##erent population. &ume that the concluion #rom a

. &t leat '

e the #ollowin! ituation #or >uetion * ? 50. & reearch #irm reported that '5H o# thoe urve1ed

oor Jood @er1 Jood ;cellent

Dberved 0 '0 2'0 '*0

;pected 90 '56 2*0 ''*

*9. )alculate the tet tatitic KKKKKKKK (to two decimal place, i.e 2.3*$

oor Jood @er1 Jood ;cellent)ontribution to tet tatitic *.*** 3.692 3.50 5.930

%et tatitic = '.'

50. Jiven an a = .05, what i the reult o# the chi-:uared tetF &. %here i not evidence to reect the cl

9.*

Actual Counts (nij)

Expected Counts (ei)

)ritical value = L20.95,*

=

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. %here i evidence to reect the claim that the proportion are e:ual becaue the tet valu

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etermining whether or not the proportion of incoming female patients who needs a pap-smear has increased.

!et "0.03 a the di##erence$

led tet, dependin! on the con#idence coe##icient +. one tailed or a two tailed tet, dependin! on the level o# i!ni#i

ould not be reected ). alternative h1pothei hould be accepted +. one o# thee alternative i correct.

ll h1pothei.

, and the #ollowin! etimated re!reion e:uation wa obtained. 8 = '20 - '0 aed on the above etimated re

&. much lar!er than ', i# the correlation i poitive . much maller than ', i# the correlation i ne!ative ). much l

n! re!reion #unction wa obtained. 8 = 500 " * aed on the above etimated re!reion line i# advertiin! i

. 1 ; +ependent @ariable Independent @ariable 5 '5 '2 9 '0 ''

;1

25 225 5

*9 '** *

' '00 90

'2' *9

26 5' 326

-0.6*

'6.*''6

12 ;2

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A2/*$$ = -0.9905*

1 were willin! to participate in a medical e;periment. &t = .05, tet the claim that the proportion who will participa

alue *.6' 5.99'

n &D@& i that the null h1pothei i reected, in other word that the 6 population mean are not all e:ual. Eow

ecribed their health a poor, 26H a !ood, *0H a ver1 !ood, and '9H a e;cellent. & health pro#eional in )h

7ow %otal

600

600

7ow %otal'.'

im that the proportion are e:ual becaue the tet value i le than the critical c 2 value. . %here i evidence to

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e i !reater than the critical c 2 value.

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A sample of female patients taken several ears ago is compared with a sample of female patients this ear. !

cance

reion e:uation, i# price i increaed b1 2 unit, then demand i e;pected to &. increae b1 '20 unit . increae

r!er than one +. one o# thee alternative i correct.

<'0,000, then the point etimate #or ale (in dollar$ i &. <900 . <900,000 ). <*0,500 +. <505,000

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te are e:ual. 7eident )it1 ' )it1 2 )it1 3 illin! to participate 20 '2 22 ot willin! to participate 30 3 2 %otal

man1 o# the population mean would be i!ni#icantl1 di##erent #rom the otherF &. %hree (hal#$ . &t leat ' ). &ll

ica!o wanted to determine i# people in )hica!o had imilar #eelin! toward their health. In a ample o# 600 peopl

reect the claim that the proportion are e:ual becaue the tet value i !reater than the critical c 2 value. ). %her

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sults are summari"ed #elow. $ample $i"e %o. !e&uiring 'ap-$mear 'revious $ample ()* )* 'resent $ample 3

b1 '00 unit ). increae b1 20 unit +. deceae b1 20 unit

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0 50 50 &. %here i not evidence to reect the claim that the proportion are e:ual becaue the tet value *.6'

ould be di##erent +. Gore than 2

in )hica!o, 0 decribed their health a poor, '0 a !ood, 2'0 a ver1 !ood, and '*0 a e;cellent. )omplete th

e i not evidence to reect the claim that the proportion are e:ual becaue the tet value i !reater than the critic

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** +, 34. The difference #etween the two proportions is A. )* . /, 0. *.)* 1. - *.*3

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5.99' . %here i evidence to reect the claim that the proportion are e:ual becaue the tet value 4 '.0*2 ). %h

e chart below b1 #illin! in the oberved and e;pected value. *. Dberved ;pected oor Jood @er1 Jood ;cel

l c 2 value. +. %here i evidence to reect the claim that the proportion are e:ual becaue the tet value i le t

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ere i not evidence to reect the claim that the proportion are e:ual becaue the tet value 5.99' '2.592 +. %he

lent

an the critical c 2 value.

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e i evidence to reect the claim that the proportion are e:ual becaue the tet value 5.99' 4 '.0*2

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2010-05-29_145847_Hospital

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