Mac vs Windows and Safari vs IE - Are Firefox and Chrome more likely to run on Windows than Mac?

I don't have lots of web stats. But here is what I do have. The following is a contingency table from my over simplified visitors stats offered by blogger.com.


OS \ Browser | Firefox + Chrome | Safari or IE
-----------------------------------------------
Mac OS X     | 1789             | 922
-----------------------------------------------
Windows      | 688              | 591


The Odds Ratio for Windows users to use a non-IE browser over Mac OS X users to use a non-Safari browser is about 1.7  To be sure, let's calculate the 95% confidence interval. 


C.I. = 1.7 plus/minus 1.96 x sqrt( 1/1789 + 1/688 + 1/922 + 1/591)


The 95% CI for Odds Ratio is approximately between 1.2 and 2.1. 
Conclusion: Mac users are more likely to use Safari than Windows users to use IE.
But some of you have already known that.


For Stats readers, below is the LR Statistics of a saturated loglinear model. The high order
term has a small p-value



                 Analysis Of Maximum Likelihood
                      Parameter Estimates

                                    Wald
          Parameter           Chi-Square    Pr > ChiSq


          Intercept               980.95        <.0001
          Windows                   6.72        0.0095
          Thirdparty                0.78        0.3772
          Windows*Thirdparty        5.63        0.0177