Warning: pointless nerdery incoming!
Six tests are done. One to see if the general ratio of men vs women being generated differs from 50%, and one for each specific skill level. To control for the 'lucky shot' (the more testst you do, the higher the odds one will be significant by sheer chance) a primitive bonferoni correction is applied to standard binomial tests. As such the alpha is .05/6=.0083. In other words, if the p-value of any of these tests is smaller than .0083, there is evidence 'something is up'. Lets go!
Q: Is there evidence that that the percentage of women being generated over all levels higher or lower than 50%?
A: No (p=.088).
Q: Is there evidence that that the percentage of women being generated in the harmless category different than 50%?
A: No (p=.672).
Q: Is there evidence that that the percentage of women being generated in the mostly harmless category different than 50%?
A: No (p=.672).
Q: Is there evidence that that the percentage of women being generated in the novice category different than 50%?
A: No (p=.480).
Q: Is there evidence that that the percentage of women being generated in the competent category different than 50%?
A: No (p=.672).
Q: Is there evidence that that the percentage of women being generated in the expert category different than 50%?
A: No (p=.672).
Q: Is there evidence that that the percentage of women being generated in the expert category different than 50%?
A: No (p=.015).
Conclusion: based on this data there is no evidence of gender differences in the generation of NPCs in EDs crew lounge. It is recommended not to get outraged over simple plots. More funding is needed.
Well review after I've gathered more data and retested the Expert category ... I'll let you know in a week or two.