Final answer:
The statement is false; while careful consideration of the audience's sensibilities is important, impactful information should not be entirely avoided in speeches.
Step-by-step explanation:
The statement that information that may have a physical, economic, or psychological impact on audience members should be avoided in a speech is false. While it is important to consider the audience's feelings and perspectives, avoiding all potentially impactful information is neither practical nor conducive to a meaningful speech. In public speaking and media, it is crucial to balance the right to speech with ethical considerations, like avoiding slander and libel. Additionally, speakers must gauge their audience's prior knowledge and stance on the topic to effectively shape their message, provide context, and persuade when necessary. However, an impactful speech should not avoid substantial topics entirely, especially if they are relevant and presented with respect to the audience's sensibilities.