expocicion unidad 3; pruebas de hipotesis

8/16/2019 Expocicion UNIDAD 3; PRUEBAS DE HIPOTESIS

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CERRO AZUL, VE

INSTITUTO TECNOLÓGICO DE CERRO AZUL

TECNOLÓGICO NACIONAL DE MÉXICO

INGENIERÍA EN TECNOLOGÍAS DE LA INFORMACIÓN YCOMUNICACIONES

MATERIA:

ESTADISTICA INFERENCIAL 1

INGENIERO:

VILLANUEVA ESPINOSA JUAN

PRESENTA:• LUCAS ALEJANDRE JESUS

• UNIDAD 3;• PRUEBAS DE HIPOTESIS

TEMA:

3.1 INTRODUCCIÓN PRUEBAS DE HIPOTESIS 3.2 CONFIABILIDAD Y SIGNIFICANCIA

Fragm!"a#$%! & Da"'(


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3.1 INTRODUCCIÓN PRUEBAS DE HIPOTESIS

1.- INTRODUCCION

D!"r' &) ("*&$' & )a $!+r!#$a ("a&,("$#a- (&(#r$ #'m' ( /*& "'mar *!a m*("ra a)a"'r$a 0 a/ar"$r & ("a m*("ra ("$mar ) a)'r & *! /arm"r'

/')a#$'!a) ! )a #*a) ( /*& m/)ar) m"'&' & m*("r' 0 ) "'rma &) a)'r #!"ra) )'4* /rm$" 5/)$#ar #'m' a /ar"$r & *!a m*("ra (/*& $!+r$r a)g' a#r#a & *!a /')a#$%!- )' #*a) !'(

))a a &+$!$r 0 )a'rar *!a &$("r$*#"r$*#$' &m*("r' & m&$a( m*("ra)( 4* !'( /rm$"5/)$#ar ) "'rma &) )$m$" #!"ra) 0 *"$)$6ar (""'rma /ara !#'!"rar )a( /r'a$)$&a&( & '"!r)a( &$("$!"a( m&$a( ma("ra)( & *!a /')a#$%!.


3/13

Pr' ( !#(ar$' "!r #'!'#$m$!"' & #$r"'( &a"'( & )a/')a#$%! #'m' )a m&$a- )a &($a#$%! ("!&ar ' )a +'rma& )a /')a#$%!- /r' a #( !' ( &$(/'! &("a $!+'rma#$%!.E! (" #a(' ( !#(ar$' 7a#r *!a ("$ma#$%! /*!"*a)

4* ( *! a)'r 4* ( *(a /ara ("$mar *! a)'r/')a#$'!a). Pr' *!a ("$ma#$%! /*!"*a) ( *! (')' a)'r 0

( r4*$r *! $!"ra)' & a)'r( a ("' ( &!'m$!a$!"ra)'" #'!+$a!6a 0 ( (/ra 4* &!"r' & ("$!"ra)' ( !#*!"r ) /arm"r' /')a#$'!a) *(#a&'.Tam$! ( *"$)$6a *!a ("$ma#$%! m&$a!" *! $!"ra)'- )#*a) ( *! ra!g' & a)'r( ! ) 4* ( (/ra (!#*!"r ) /arm"r' /')a#$'!a)E! !*("r' #a(' ( &(arr'))a *! /r'#&$m$!"' /ara /r'ar

)a a)$&6 & *!a a(ra#$%! a#r#a & *! /arm"r'/')a#$'!a) (" m"'&' ( &!'m$!a&' Pr*a

& 7$/%"($( /ara *!a m*("ra.


4/13

2.- HIPOTESIS Y PRUEBA DE HIPOTESIS

T!m'( 4* m/6ar /'r &+$!$r 4* ( *!a 7$/%"($( 04* ( /r*a & 7$/%"($(.H$/%"($( ( *!a a(ra#$%! & *!a /')a#$%!

)a'ra&' #'! ) /r'/%($"' & /'!r a/r*a- /arar$+$#ar ($ )a a+$rma#$%! ( ra6'!a) ( *(a! &a"'(.E! ) a!)$($( ("a&,("$#' ( 7a# *!a a(ra#$%!- (

&#$r- ( /)a!"a *!a 7$/%"($(- &(/*( ( 7a#!)a( /r*a( /ara r$+$#ar )a a(ra#$%! ' /ara&"rm$!ar 4* !' ( r&a&ra.P'r "a!"'- )a /r*a & 7$/%"($( ( *! /r'#&$m$!"'

a(a&' ! )a $&!#$a m*("ra) 0

)a "'r,a & /r'a$)$&a&8 ( m/)a /ara &"rm$!ar ($)a 7$/%"($( ( *!a a+$rma#$%! ra6'!a).Pr*a & *!a 7$/%"($(9 ( ra)$6a m&$a!" *!

/r'#&$m$!"' ($("m"$#' & #$!#' /a('9


5/13


6/13

3.- Pr!"#$%$"&' ($('"%)'$! *+r+ &+*r"+ #" $*/'"($( #" &+ %"('r+

.P+( 1 P+&'"+r + $*/'"($( &+ + $*/'"($( +'"r&+'$4+ 1.C*a)4*$r $!("$ga#$%! ("a&,("$#a $m/)$#a )a

5$("!#$a & 7$/%"($( ' a+$rma#$'!( a#r#a & )a(/')a#$'!( 4* ( ("*&$a!.La 7$/%"($( !*)a :H'; ( r+$r ($m/r a *! a)'r

(/#$+$#a&' &) /arm"r' & /')a#$%!- !' a *!a

("a&,("$#a & m*("ra. La )"ra H ($g!$+$#a 7$/%"($(0 ) (*,!&$# #r' !' 7a0 &$+r!#$a. P'r )' g!ra)7a0 *!


7/13

signifcación indicará a!r"#a#iidad d$ n" ac$!%ara& $s

d$cir& $s%'n "r+ d$ ár$a d$ac$!%ación. E &$4" #"!&6+&7+ )*+,-& indica a

!r"#a#iidad d$ ac$!%ar ai!ó%$sis !an%$ada& c/and" $s0$rdad$ra $n a !"#ación.


8/13

Tipos de eoes

C*a)4*$ra (a )a &#$($%! "'ma&a a /ar"$r & *!a /r*a

& 7$/%"($(- 0a (a & a#/"a#$%! & )a H' ' & )a Ha-/*& $!#*rr$r( ! rr'r9U! error tipo I ( /r(!"a ($ )a 7$/%"($( !*)a H' (

r#7a6a&a #*a!&' ( r&a&ra 0 &,a (r a#/"a&a.La /r'a$)$&a& & #'m"r *! rr'r "$/' I ( &!'m$!a

#'! )a )"ra a)+a =U! error tipo II - ( &!'"a #'! )a )"ra gr$ga > (

/r(!"a ($ )a 7$/%"($( !*)a ( a#/"a&a #*a!&' &7#7' ( +a)(a 0 &,a (r r#7a6a&a.E! #*a)4*$ra & )'( &'( #a('( ( #'m" *! rr'r a)

"'mar *!a &#$($%! 4*$'#a&a.E! )a ($g*$!" "a)a ( m*("ra! )a( &#$($'!( 4*

/*&! "'mar ) $!("$ga&'r 0 )a( #'!(#*!#$a(/'($)(.


9/13


10/13

Para 4* #*a)4*$r !(a0' & 7$/%"($( (a*!'- & &$(?ar( & +'rma 4*m$!$m$# )'( rr'r( & &#$($%!. E! )a/r#"$#a *! "$/' & rr'r /*& "!r m($m/'r"a!#$a 4* ) '"r'- 0 a(, ( "$! a#'!(g*$r /'!r *!a )$m$"a#$%! a) rr'r &ma0'r $m/'r"a!#$a. La @!$#a +'rma &

r&*#$r am'( "$/'( & rr'r( ($!#rm!"ar ) "ama?' & )a m*("ra- )'#*a) /*& (r ' !' (r /'($).


11/13

3.2. CONFIA8ILIDAD Y SIGNIFICANCIA

P!e"# de Hip$%esis: D!'m$!a&a "am$!p!e"# de si&'i(i)#)i$'*

"$! #'m' '"$' /r$!#$/a) a)*ar (*/'($#$'!( 'a+$rma#$'!( a#r#a & )'( a)'r( ("a&,("$#'( & )a /')a#$%!-&!'m$!a&'(p#+,e%os.La /a)ara &'#$mar ($g!$+$#a /r'ar- #*a!&' ( 7a#

$!&$(/!(a) "'mar *!a &#$($%! ('r )aa)$&6 & )ar/r(!"a#$%! & *!a /')a#$%!- #'! a( ! )'( r(*)"a&'('"!$&'( a "ra( &*!a m*("ra- ( &$#! 4* ( "'ma!

&#$($'!( ("a&,("$#a(. Para "'mar *!a &#$($%! (!#(ar$'-a!" "'&' /)a!"ar /'($$)$&a&( a#r#a & )a #ara#"r,("$#a '#ara#"r,("$#a( a ("*&$ar ! *!a /')a#$%! &"rm$!a&a. La(*/'($#$%! /*& (r #$r"a ' +a)(a. E("a( (*/'($#$'!(())ama!


12/13

ip$%esis es%#ds%i)#s.Hip$%esis Es%#ds%i)#:-

E( *! (*/*("' a#r#a & *! /arm"r' '& a)g@! a)'r ("a&,("$#' & *!a /')a#$%!.C'!("a &+$!$#$%! !#'!"ram'( 4* !' "'&a( )a(7$/%"($( ('! 7$/%"($( ("a&,("$#a(. S

&"'mar #'! r+r!#$a a *! /arm"r'- 0a (a*!a m&$a ar$"m"$#a- *!a /r'/'r#$%! :/'r#!"a;'ar$a!6a /ara 4* (a 7$/%"($( ("a&,("$#a.U!a7$/%"($( ("a&,("$#a "am$! /*& #'!($&rar(-

#'m' )a a+$rma#$%! & *!a #ara#"r,("$#a$&a) &*!a /')a#$%! ('r )a #*a) 7a0 $!(g*r$&a& ! )m'm!"' & +'rm*)ar)a 0 4*- a )a 6-(5/r(a&a & "a) +'rma 4* /*& (r ra)$6a&a.


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expocicion unidad 3; pruebas de hipotesis

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