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Solution:- Given that{:[n_(1)=543,n_(2)=372],[x_(1)=89,x_(2)=157]:}step (1):-{:[ bar(p)=(x_(1)+x_(2))/(n_(1)+n_(2))],[ bar(p)=(89+157)/(543+372)=(246)/(915)],[ bar(p)=0.2688]:}point estimate =0.2688Step(2){:[" Margin of error "=sqrt((P_(1)(1-P_(1)))/(n_(1))+(P_(2)(1-P_(2)))/(n_(2)))],[P_(1)=(x_(1))/(n_(1))=(89)/(543)=0.1639],[P_(2)=(x_(2))/(n_(2))=(157)/(372)=0.4220]:}substitute the values=sq ... See the full answer