SOLUTION: A sample survey of a Brgy. Captain candidate in Barangay Sta. Cruz shows that 90 of 210 male voters dislike candidate W and 129 out of 240 female voters dislike the same candidate

Question 1182199: A sample survey of a Brgy. Captain candidate in Barangay Sta. Cruz shows that
90 of 210 male voters dislike candidate W and 129 out of 240 female voters dislike the same candidate. Determine whether the difference between the two sample proportions 90/210 and 129/240 is significant or not at 5% level of significance.
Solution:
P1= n1= q1=
P2= n2= q2=
1. H0:
H1:
2. Level of significance.
3. Test:
4. Critical Region:
5. Solution
z= p1-p2/√p1q1/n1+p2q1/n2
6. Decision:
7. Conclusion:
(Thank you very much if you help me with this problem I'm stuck with it.) <3
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: p1=p2
Ha=p1 ne p2
alpha=0.05 p{reject Ho|Ho true}
test stat is a z
critical value |z|> 1.96
calculation z=(p1-p2)/sqrt (p*(1-p*))/n1+(p*(1-p))/n2))
90/210=0.429=p1
129/240=0.5375=p2
combined proportion is 219/450=0.486667 for p* so (1-p*)=0.513333, and their product is 0.2498
numerator is -0.1089
denominator is sqrt(0.2498*(1/210)+(1/240))=0.04722
numerator/denominator=-2.306
reject Ho; there is a difference between the two proportions, and p1 is the smaller.
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