Re: Oh the irony
The way to look at this is to calculate the margin of error for this sample.
The sample size is 2692+2128 = 4820
We calculate the 95% margin for error as 1.96 * sqrt(0.5 * (1.0 - 0.5) / 4820) (footnote)
This gives 0.0141157044469341 which says that 95% of the time, the expected number of women will be within 50 +/- 1.412%. This translates to a range of 4820/2 +/- 68 people, or [2342,2482]. The value 2,128 is outside this range so all we can say is that using a 95% confidence interval, the assertion that males and females are equally represented (p=0.5) is not supported by the sample.
Chi-squared is slightly different since it's a measure of fit of a set of individual observations to the expected, but the above is effectively its application to the average case (ie, it ignores the spread of individual samples). Neither provides a measure of how unrealistic/unexpected the result [set] is, as Vaidotas Zemlys has pointed out.