Question 1040402
278/700=0.397
CI for 1 sample proportion =0.035 here, and that is z (0.99)sqrt { (p)(1-p)/n}; square both sides
0.035^2=0.001225=z^2(0.99)*p*(1-p)/n
z(0.99)=2.326
0.001225=5.410*(.397)(.603)/n; now multiply both sides by n then divide both by 0.001225
n=5.410*(.397)(.603)/0.001225=1057.  Within rounding error, C would be the choice.