Hey guys please I need help with this problem Thank youSolut

Hey guys please I need help with this problem.

Thank you,

Solution

Null, There Is No Significance between them Ho: p1 = p2
Alternate,n\'t Ho H1: p1 != p2
Test Statistic
Sample 1 : X1 =73, n1 =250, P1= X1/n1=0.292
Sample 2 : X2 =85, n2 =275, P2= X2/n2=0.309
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.301
Q^ Value For Proportion= 1-P^=0.699
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.292-0.309)/Sqrt((0.301*0.699(1/250+1/275))
Zo =-0.426
| Zo | =0.426
Critical Value
The Value of |Z | at LOS 0.05% is 1.96
We got |Zo| =0.426 & | Z | =1.96
Make Decision
Hence Value of |Zo | < | Z | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) -Ha : ( P != -0.4264 ) = 0.6698
Hence Value of P0.05 < 0.6698,Here We Do not Reject Ho

We don\'t evidence to suggest that the proportion of voters in
the West who believe that an armed revolution might be neces
sary is different from the proportion of voters in the East