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...among adults between 18 and 28, women were responsible for instigating 71 percent of the violence in relationships with non-reciprocal-partner violence. (The guy doesn't hit back.)
The key here is the "with non-reciprocal-partner violence." All this says is that women may fight back more than men when assaulted, not that women assault men more than the other way around. Consider an example where three quarters of all assaults were instigated by men, and one quarter by women. Now assume for the sake of the example that all women fight back, and none of the men do. Then it could be said that "Women were responsible for instigating 100 percent of the violence in relationships with non-reciprocal-partner violence."