given,

for midwest residients

population=1400

probability(p1)=0.5

for northeast residients

population=1320

probability(p2)=0.38

P=(p1*n1+p2*n2)/(p1+p2)

=0.441

Q=1-P=0.558

Z at 98% level=2.326

standard error=(N*P*Q)^0.5/N=25.87/2720=0.00911

Z=(p1-p2)/(P*Q(1/n1+1/n2))^0.5=6.305

Z calculated > Z at 98% llevel

both are significantly different

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