Tsu-2011 - ieeetsu

( 0.36 0.242, 0.36 0.242) ,
( 0.602, 0.118) .
vinaidan ndobis intervali moicavs 0-s, gadawyvetileba isev iqneba:
ukuvagdoT nulovani hipoTeza.
magaliTi 2. SemTxveviT SerCeul 50 adamians erTi Tvis ganmavloba-
Si asmevdnen garkveul wamals, ramac gamoiwvia maT 60%-Si qolesterinis
donis Semcireba. sxva SemTxveviT SerCeul 80 adamians erTi Tvis ganmavlobaSi
asmevdnen sxva wamals, ramac gamoiwvia maT 25%-Si qolesterinis
donis Semcireba. 0.01 mniSvnelovnebis doniT aris Tu ara proporciebs
Soris mniSvnelovani gansxvaveba? amoxseniT rogorc Cveulebrivi, ise
P -mniSvnelobis maTodiT.
amoxsna. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi:
H0 : p1 p2
, H 1
: p 1
p 2
.
gvaqvs: n 50 , m 80 , p 1
60% 0.6 , p 2
25% 0.25 . gamovTvaloT p :
n m 50 50
p p1 p2
0.6 0.25 0.385 .
nm nm
50 80 50 80
Sesabamisad, q1 p 0.615 .
vipovoT kritikuli mniSvneloba. radaganac kriteriumi ormxrivia
da 0.01 , kritikuli mniSvnelobebi iqneba: CV . . z
/2
z0.005
2.58 .
gamovTvaloT kriteriumis mniSvneloba:
( p1 p2) ( p1 p2) (0.6 0.25) 0
T. V. z 3.99 .
pq(1/ n1/ m)
0.385 0.615 (1/50 1/80)
radganac 3.99 > 2.58 (e.i. T. V. C. R.
), Cven unda ukuvagdoT nulovani
hipoTeza, anu Cven gvaqvs sakmarisi safuZveli davaskvnaT, rom proporciebs
Soris gansxvaveba mniSvnelovania.
visargebloT P -mniSvnelobis meTodiT: normaluri ganawilebis
cxrilidan vpoulobT, rom P -mniSvneloba iqneba:
2 [1 (| z |)] 2 [1 (3.99)] 2 (1 0.999) 0.002 .
vinaidan P -mniSvneloba = 0.002 < 0.01 , amitom gadawyvetileba isev
iqneba: 0.01 mniSvnelovnebis doniT proporciebs Soris gansxvaveba
mniSvnelovania.
amocanebi
1. muSaTa dasaxlebidan 150 SemTxveviT SerCeul adamians Soris 80-s
awuxebs filtvebis avadmyofoba, xolo 100 SemTxveviT SerCeuli soflis
mosaxlidan 30-s awuxebs filtvebis avadmyofoba. 0.05 mniSvnelovnebis
doniT aris Tu ara gnsxvaveba am or dasaxlebaSi filtvebis avadmyofobis
mqone adamianebis proporciebs Soris?
2. gamokiTxvis Tanaxmad SemTxveviT SerCeuli 80 eqimidan 15 mwevelia,
xolo 50 iuristidan ki sigarets eweva 5. 0.05 mniSvnelovnebis
180