Final answer:
The question about whether audience members were alive during the Challenger disaster is an example of demographic audience analysis, as it pertains to the age characteristic of the audience.
Step-by-step explanation:
The question "Were my audience members alive when the spaceship Challenger exploded?" is an example of a question that falls into the category of demographic audience analysis. This type of analysis involves understanding the statistical characteristics of a human population, such as age, which is directly relevant to whether someone was alive at the time of a specific historical event like the Challenger disaster. Using demographic audience analysis, a speaker can tailor their presentation to the backgrounds and experiences of their audience to ensure that the content is relevant and engaging.