"an instructor asks you to develop a study of the homeless that will provide a great deal of insight into what it is like to be homeless. given this mandate, which of the following methods would most likely produce the information that you need for such a project? "

Ethnographic method

Explanation:

Although there are no methods listed, given the information of the information, the answer would be Ethnographic method.

The ethnographic method is the one where the research observes and interacts directs with the population he/she wants to study for a better understanding of it. Ethnographic takes place in a real environment so the researcher can reach conclusions from the population he's researching and a better insight of it.

In the question, the instructor asks you to develop a study of the homeless that will provide a great deal of insight into what it is like to be homeless. Since you need a great deal of INSIGHT into what it is like to be homeless, you'd need to experience the situation first hand and therefore an Ethnographic method would be the best one.