# of flips      proportion > this number      sample size
100000          0.298                         n=1000
10000           0.41                          n=1000
1000            0.5516                        n=10000
100             0.7637                        n=10000
32              0.8726                        n=10000
64              0.8029                        n=10000
128             0.738                         n=10000
256             0.6768                        n=10000
512             0.6252                        n=10000
1024            0.563                         n=10000
2048            0.5126                        n=5000