In any screening process, it is important to use "weeding out" methods that are appropriate to the relative cost and importance of the next step in the process. If the next step is cheap and easy, then the screening process does not need to be very rigorous (e.g., American Idol). If the next step is expensive and difficult (e.g., dating, marriage, and children), then the screening process needs to be more rigorous. In nerd terms, as the cost of the step following the screening increases, one's toleration of false positives and false negatives decreases.
I wonder what the false positive and false negative rates are for her test?
