Determining if there are significant differences in gender ratio across multiple regions

My data look like this:

UnigueID  Region   Sex   etc.
4567      4        M
3452      2        F
2316     12        F
2347      4        F
3987      7        M
9567      7        M


and so on for 15,000 some obs.

I have multiple regions, different numbers of obs in each region, and I want to know first and foremost are the gender proportions different? And then ideally which are different and by how much (confidence limits, etc). I thought to do an ANOVA test using proportion of females in each group as a gender mean but I wasn't getting an F-value presumably because there is no spread using that idea it is just a single number for each group, so there was no error. I'm not sure what I'm screwing up conceptually.

• Restated differently: Are you looking for % male for each region (I assume % female is 1 - % male), and then seeing which regions are statistically significantly different than the average and by how much? – ilanman Aug 1 '16 at 19:29
• Yes, different from the average and different from each other. That is just right – jkh107 Aug 1 '16 at 21:01
• re "... just a single number for each group." Could you clarify this? After all, even your small example shows two individuals in Region 4 and two in Region 7. What distinction are you making, then, between "Region" and "group"? – whuber Aug 4 '16 at 18:14