given,

for western residients

population=1360

probability(p1)=0.4

proportion(P1)=544

for southern residients

population=1300

probability(p2)=0.49

proportion=637

difference in proportion=637-544=93

net P= (n1*p1-n2*p2)/(n1+n2)=0.0349

N,difference in population=60

total population=2660

Z at 90%=1.645

S.D=0.019

upper limit=(p1-p2)+Z*S.D/(n)^0.5=(0.4-0.49)+1.645*0.019/(60)^0.5=0.09+0.00403=0.09403

lower limit=(p1-p2)-Z*S.D/(n)^0.5=0.09-0.00403=0.08547

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