The method is Dr. Perry most likely to use is Participatory action research.
Participatory action research is a type of research characterized by :
Additionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.
According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.
On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.
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Note:
This question is incomplete because the options are missing. Here are the options.
A. Case study
B. Naturalistic observation
C. Participatory action research
D. Focus group