As the sample size increases the standard decation of p decreases. If the sample size is increased by a factor of 4 then the standard deviation reduces to half
(0.4, square root of 0.4x0.6/500).
0.0264.
sampleing distribution of p sigma= square root of 0.35x.65/1000
0.0040
0.0233
square root of .42x.58/1460
0.0102
0.0606
random sample size 500 Americans = >5% of the population