Question

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi State Alabama Mississippi 900 d Voters in favor of 400 525 700 1. We want to determine whether or not the proportions of voters favoring the Democratic candidate were the same in both states. Conduct a full hypothesis test (all steps, p value approach) at 90% confidence.

Answer 1

H0 : p1 = p2
Ha: p1 not equals to p2

test statistics:

p1 = 400 / 700 = 0.571
p2 = 525/900 = 0.583

pcap = (400 + 525)/(700+ 900)
= 0.5781

z = (p1-p2)/sqrt(pcap *(1-pcap) *(1/n+1/n2))
= ( 0.571 - 0.583)/sqrt(0.5781*(1-0.5781) * (1/700 + 1/900))
= -0.48

p value = 0.6297

Fail to reject H0 as p value > 0.10