In public speaking, which of the following is key to establishing your credibility?

Establishing credibility as a speaker is crucial for gaining the trust and respect of the audience. Demonstrating knowledge of the topic is key because it shows that you have a strong understanding and command over the material you are presenting. This confidence inspires trust in your audience, making them more receptive to your message. When a speaker is knowledgeable, it becomes easier for the audience to believe in their ideas and arguments.

Using complex language may alienate or confuse the audience, while personal anecdotes can enrich a presentation but are not sufficient on their own to demonstrate expertise. Avoiding audience engagement can also diminish the speaker’s credibility, as it may come off as indifference or a lack of awareness of the audience's needs and reactions. Therefore, the right answer focuses on the fundamental aspect of establishing credibility through knowledge of the topic.