ebw said:
Guess what? The proportion of tech to non-tech can be deduced from the same chart, with the help of our friend algebra:
Let T be the number of people in Tech, and N the number in Non-tech. Also let T_M and N_M be the number of males in Tech and Non-tech, respectively. Then the above three stats give:
Substituting 1) and 2) into 3) gives
0.83T + 0.52N = 0.7T + 0.7N which simplifies to 0.13T = 0.18N, or T = (18/13)N.
In other words, the ratio of Tech to Non-Tech is 18:13 so 58% of the company is Tech, and 42% of the company is Non-tech, so YES they are predominantly a tech company (but not by a huge margin). If you want to get fancy this calculation can also be done with Bayesian statistics, but my point is that the answer is already secretly starting you in the face (obviously some rounding errors are inevitable since the statistics are only given to one percentage point of precision).
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Great. Doesn't give us any relevant information without knowing the ethnicity of STEM and non-STEM graduates though.