Earlier quoted context omitted.
> the difference in conversion rate is not measurable Wut? Here's the results of me changing an "add to cart" button from a branded looking maroon button to a simple yellow (Amazon style) button: http://cl.ly/0d440I3T333m That's 26% sales increase from changing a button's color. If you've got a good eye for usability, your intuition is going to lead to a lot of fun and great results with A/B testing. If not, you'll f…
You really should question the statistical significance of those numbers.
Assuming the usual sqrt(n+1) error on a count, as n is low. Combining the uncertainties from 83/66 [0] gives 1.258 +- 0.231 (1sd). It's only just likely that it is an actual improvement, but there is about a 30% chance that the orignal was better.
[0] (((1+66^0.5)/66)^2+((1+83^0.5)/83)^2)^0.5x83.0/66
EDIT
If we also include the errors on the total counts and use the fraction 83.0/66/6362x6392, then the error is:
(((1+66^0.5)/66)^2+((1+83^0.5)/83)^2+((1+6362^0.5)/6362)^2+((1+6392^0.5)/6392)^2)^0.5x83.0/66/6362x6392
which shows an improvement of 1.264+-0.234. Stastically nout.