ࡱ> !# '` )bjbjLULU 4..?.?424NCrBBBBBBB$DhVGB9BCNNNBNBNN6<>f Ps+V:<@C0NC=G&G8>G>P> ,N9$]BB8NC $  AP Statistics  Chapter 12 Notes: Significance Tests in Practice12.1: Tests about a Population Mean T-test for a Population Mean Hypotheses: H0: m = m0; Ha: m < m0 or m > m0 or m ( m0 Conditions: SRS  does the data come from a random sample? Normality Is it given or is there a large sample size ( EMBED Equation.DSMT4 )? Independence is the pop. size at least 10 times greater than sample size? Test-Statistic:  EMBED Equation.DSMT4  where s is the sample standard deviation P-value: The P-value is based on a t-distribution with  EMBED Equation.DSMT4  degrees of freedom. This value can be estimated using Table C or found accurately using the T-test function on your calculator Paired Differences T-test To compare the responses to the two treatments in a paired data design, apply the one-sample t procedures to the observed differences. For example, suppose that pre and post test scores for 10 individuals in a summer reading program are: Subject 1 2 3 4 5 6 7 8 9 10 Pre-test 25 31 28 27 30 31 22 18 24 30 Post-test 28 30 34 35 32 31 26 16 28 36 Difference 3 -1 6 8 2 0 4 -2 4 6 We would use the data in the differences row and perform one-sample t analysis on it.12.2: Tests about a Population Proportion Z-test for a Population Proportion (one-proportion z-test) Hypotheses: H0: p = p0; Ha: p < p0 or p > p0 or p ( p0 Conditions: SRS  does the data come from a random sample? Normality  Are  EMBED Equation.DSMT4  and  EMBED Equati04D  " & ( * . 0 2 : > @ F H J L ȼtlaYNtlaNthhOJQJhw!OJQJhhw!OJQJhw!mH sH hhH*mH sH hhmH sH h`.(h5mH sH h[bh[b5 h5hhzh5CJaJhh5CJaJh/Qhzh5CJaJh0^5CJaJhw)$h/Qhw)$5CJaJh<5CJaJh5CJaJhhw)$5CJaJ ~ Q wi`SSFF & F $Ifgdw! & F $Ifgdw! $Ifgd[bdh<$IfgdX|kd$$Ifl $h%  t 0644 lap yt $$Ifa$gd )L N V X ^ ` d f h n p r t v x z | ~ 1 3 4 K L M N O P Q ¹힚wjc^ hG5 hZh`.(jxhw!hw!EHUj(R hw!CJUVaJjhw!Uhw!hL$h`.(hh`.(h5 jhmH sH hw!mH sH hw!H*mH sH hH*mH sH hhH*mH sH hhOJQJhhw!OJQJhhmH sH hmH sH #Q g h $dd$If[$\$a$gd^}K$dd$If[$\$gd^}K$ $Ifgd^} $Ifgd0 $Ifgd[b & F $Ifgdw! & F $Ifgdw! ) * A B C D < =  - 8 a m }uqiqaqaqaqaqh[f h^}5h{Ah^}6h^}h0h5h0h05 h[bh[bhohw!6hw!jh*Wh*WEHUjhR h*WCJUVaJjh*WUh*Wh hG5h`.(h`.(6jh[bh`.(EHUjvR h`.(CJUVaJh`.(jh`.(U hZh%       $ ( , - 8 < @ D H L P T X Ff=dd$If[$\$gd^}K$Ff3 $dd$If[$\$a$gd^}K$X \ ` a m p t w z } x$Ifgd^} $Ifgd^}Ff[dd$If[$\$gd^}K$FfL$dd$If[$\$a$gd^}K$  "Pdʾ߲}uqiq}uqq}uqq}hw!OJQJhahw!mH sH hhw!H*mH sH hhw!mH sH h`.(hw!5mH sH  h^}5h[bhw!5 hw!5hhl5CJaJhh5CJaJh/Qhl5CJaJh0^5CJaJh5CJaJhzh hZh0h^}hs!h^}6% & (l((}ppcccp & F $Ifgdw! & F $Ifgdw! $Ifgdw!dh<$Ifgd kjkd$$Ifl$h% t0644 laytzh   "2( ( ( ( ((k(l(z({(|(}((rkfk^jhw!U hw!5 hZhw!jhL$hL$EHUjgR hL$CJUVaJUjhL$hL$EHUjR hL$CJUVaJjhL$Uh~G hL$hw!h`.(hw!5hhw!H*mH sH  jhw!mH sH hahhw!mH sH hw!mH sH hw!H*mH sH $on.DSMT4  both at least 10? Independence is the pop. size at least 10 times greater than sample size? Test-Statistic:  EMBED Equation.DSMT4  where  EMBED Equation.DSMT4  is the sample proportion P-value: The P-value is based on a normal z-distribution. This value can be estimated using Table A or found accurately using the 1-Prop Z-test function on your calculator ((((((((((((((((( )5)6)U)])b)~))))˼˨רכ׌hzhhw h6Yhwhohw!6hoh~G 6 hw!5 hZhw!j#h~G h~G EHUjR h~G CJUVaJh~G jh~G Uhw!jhw!Uj5h~G h~G EHUj\R h~G CJUVaJ()))jkd&$$Ifl$h% t0644 laytw & F x$Ifgd^}21h:p(D/ =!"#$% v$$If!vh5h%#vh%:Vl   t 6,5h%p yt Dd b  c $A? ?3"`?2TbS$_0[`!(bS$_ dHxڕRMkQ=MҚi X[i'+$~ )\1>@2A.Cqe; f& A>q;)@{MHD1"A\͉ɾc:AzImБ@'cv@#Fy~ր}4RJM(tZ< WgC 7liIؒύ{VŇO8zߥKK 9^գ$`0&70NNP'~WQ nO-KjT&_ŝ/ATjrfoZ95s]pې;nc IlZ]fY~$+m!n=%#'rr(uc;?̯߲xyɬg2&nڌxx7֙3l2`풯>3&s Ӻ ؗ+>((G =|]#|b6\_)T^Opb.c${CV8ƼR (/0!F%E@5e`ޑO̻ݧ%||Ӆ^jN4K R[}hSkզ&9r\O*G߼jwtV?䠙q;Vo6sjefI./:\Z]|vnȊ'dgln=x~"(n=8?rrMǪVWJxҰs`a1l^F\ f[pStJ,#M! lq"ue3"qV8>=zU1q?BDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefgRoot Entry( F o-V$Data &WordDocument'4.ObjectPool*0%+V o-V_1391661352F0%+V0%+VOle CompObjiObjInfo  !$'()*-0123458;<=?@ABCDEGHIJKLN FMathType 6.0 Equation MathType EFEquation.DSMT49qr7OT 7DSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  ne"30Equation Native _1391514486 F0%+V0%+VOle CompObj i FMathType 6.0 Equation MathType EFEquation.DSMT49q)OT DSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  t==  xObjInfo Equation Native  E_1391660904 F0%+V0%+VOle "-m 0  s n  FMathType 6.0 Equation MathType EFEquation.DSMT49qrthOT hDSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_CompObjiObjInfoEquation Native _1391661587F@L+V@L+VAPAPAE%B_AC_A %!AHA_D_E_E_A  n"-1 FMathType 6.0 Equation MathType EFEquation.DSMT49qrt*OT *DSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_Ole CompObjiObjInfoEquation Native APAPAE%B_AC_A %!AHA_D_E_E_A  np 0 FMathType 6.0 Equation MathType EFEquation.DSMT49qrL7OT 7DSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G__1391661671F@L+V@L+VOle "CompObj#iObjInfo%Equation Native &_1391661404"F@L+V@L+VOle +CompObj ,iAPAPAE%B_AC_A %!AHA_D_E_E_A  n(1"-p 0 ) FMathType 6.0 Equation MathType EFEquation.DSMT49qrk:OT :DSMT6WinAllBasicCodePagesObjInfo!.Equation Native /_1391661542$F@L+V@L+VOle 6Times New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  z== !p"-p 0   p 0 (1"-p 0 )n  FMathType 6.0 Equation MathTyCompObj#%7iObjInfo&9Equation Native :1TableCHpe EFEquation.DSMT49qrtaOT aDSMT6WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/'_!!/G_APAPAE%B_AC_A %!AHA_D_E_E_A  !pOh+'0  #v :Vl t655 yt^}TYkd$IfK$L$Tl  w_G/" t06,,,,44 layt^}T$IfK$L$q!v h555555555 5 5 #v#v :Vl t655 yt^}TYkd$IfK$L$Tl  w_G/" t06,,,,44 layt^}T$IfK$L$q!v h555555555 5 5 #v#v :Vl t655 yt^}TYkd$IfK$L$Tl  w_G/" t06,,,,44 layt^}TM$$If!vh5h%#vh%:Vl t65h%ytzhDd |hb  c $A? ?3"`?2?^6}Ưm[xI`!^6}Ưm[x`@0|xڕRMO@>L$'|Zp K'=EM$n8nXRXqпzȡ? sYR37F^۷3ϳo08D]H1BA6aMa^J1IheTiJ L<,iZ } F&͈+Z61v]zھ4O+\;y||;BiMtH!j㽴xEEop'yW3 Kxg8ZjK*׵Nuat,W*N؎^Z]5GhH2ɻevmF[Fi&oBfPZMlnl/ԋEϪ:y5 Uy%X?o̼Ϗ|DAAgE  /-nJti WKm%p^s3PFsN;Dd hb  c $A? ?3"`?27&==,ѕHha>`!Y7&==,ѕHh@|'xڝSkAl@Xb7k+M=HI"<&1q!لl )^"?zЛ7ų=hD7߼0(o؅*OAH$F'zaqIxڵUKSq?;iRV.Fۚj#]fDP z *,,{MMz|'=DE|/Z=s99l/%D-*Itz(ylvZ$'8 +2:ֹM  A$͆[GGHBh@-zs;B+&Po{u ZX2Y I{Hc<@ߩ&X& qy T [/I-Z-H,St_D7~i|p!mB#sKSÖhzNkyzT4|3|Y}.i]j0hyn.FX*-gI|}[}aC0+m$?hn{}0 [GQPTi kl"Y1'K{IF٨NWE4ʎz>/I%FQR)ݔ)ie}#~EɅO.Kff؈x2*OeXgbYJ|<1Vj>D쀆]!+̣@yLh=AO^Lz=yŞrX_uuM$$If!vh5h%#vh%:Vl t65h%ytwSummaryInformation()>DocumentSummaryInformation8FCompObjMq, L X d p| AP Statistics Chapter 9 NotessvusdNormal Dan Shuster15Microsoft Office Word@L@Z!n@H@Lp՜.+,D՜.+,l( hp  $Simi Valley Unified School District[[&'  AP Statistics Chapter 9 Notes TitleH 6> MTWinEqns   FMicrosoft Office Word Document MSWordDocWord.Document.89q@@@ NormalCJ_HaJmH sH tH DA@D Default Paragraph FontRi@R  Table Normal4 l4a (k(No Listj@j zh Table Grid7:V0HH  , Balloon TextCJOJQJ^JaJ>O> i0style2dd[$\$OJQJFV`!F \]FollowedHyperlink >*B* ph.ABfQgh  $(,-8<@DHLPTX\`amptwz}K l0 0 00 0 0 0 0 0 0 00000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0@0 0 00 0 0 0 0 0 0@ 0 0 0ABfQ  $(,-8<@DHLPTX\`amptwz}K l00 00 0 0 0 0 0 0000000000000000000000000 @0 0000000000000000000000 @0 0000000000000000000000 @0 0 00 00 00 00 00 00 00 00 00 00 0 @0 @00 0@0@ 0@ 0A 0A 0A 0@ 0@ 0 0 00 L () Q X () ) 3KM)AC  |:::::::8@0(  B S  ?Dtf;Dtl;Dl;Dj;QQ  ]],,9*urn:schemas-microsoft-com:office:smarttagsplace8*urn:schemas-microsoft-com:office:smarttagsCity î8@KUWY`acelmosxz|lpK;?33"@3N)D(2[\_`ghklstwx |~~8@ u+rtK>[3?$|~!~V*]^\ nYlgn_V:E"kdmO|\fh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hHh ^`hH.h ^`hH.h pLp^p`LhH.h @ @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PLP^P`LhH.h^`OJQJo(hHh^`OJQJ^Jo(hHohpp^p`OJQJo(hHh@ @ ^@ `OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHohPP^P`OJQJo(hHh ^`hH.h ^`hH.h pLp^p`LhH.h @ @ ^@ `hH.h ^`hH.h L^`LhH.h ^`hH.h ^`hH.h PLP^P`LhH. eu[6:E"kmO|Ylg[3?!~V]^\                                                                                           5``Z[f \ ~G 0<M6w)$ R&`.(t~+E1:3yo3,8j8A9D:;?{A(D0>EFF?H'LHUI'dP6Yp0\B\\]a[b^Fb @czhi :i ppqc'stuwx;y8m|^} ~{~N9S'!XZM5fWi0lcKHS(t!}RL wxjPl2w! /Q6_ EhNuMzqGeJloID+'m*WzIk$h k ,N3xZJs!y5"Z$ cw -H;~D /iL$b av#ln9q<.S0^JAB  $(,-8<@DHLPTX\`amptwz}@ @@@@4@P@UnknownG:Ax Times New Roman5Symbol3& :Cx Arial5& >[`)Tahoma7& [ @Verdana?5 : Courier New;Wingdings"hcCyp[[p[[x24d&&2QHX)?zh2AP Statistics  Chapter 9 Notessvusd Dan Shuster8