If Jane does not know the answer to an audience question, what should she do?

In a professional setting, if someone does not know the answer to a question posed by the audience, the best approach is to offer to research and get back to them. This response demonstrates integrity, acknowledges the importance of accurate information, and shows respect for the audience's inquiry.

By committing to find the correct answer, Jane not only maintains her credibility but also fosters an environment of trust and engagement. This approach encourages ongoing dialogue and illustrates that she values the question and the individual who asked it. It allows her to provide well-informed responses later that can enhance the overall quality of her presentation.

The other options aren't advisable, as making something up could lead to misinformation, avoiding the question might come off as unprofessional or dismissive, and offering a personal opinion may fail to address the audience's need for factual information. Thus, committing to follow up with accurate information is the most responsible and respectful choice.