Explanation : Case study method of research involves a
careful, in-depth and complete observation
of a person, family, institution, cultural
group or even the entire community; and,
Ethnographic method involves observation
and/or interaction with the study's
participants in their real-life environment.
So, both these methods will be appropriate
in the given context. The other methods are
for other specific purposes: Experimental
method is scientific research method
of manipulating one or more variables,
and measures corresponding change in
other variables; Descriptive research
focuses on describing the nature of a
demographic segment or phenomenon that
is being studied, rather than finding out
the cause/reason behind its occurrence;
Historical research involves studying,
understanding and interpreting past events
by interpretation of documents, diaries and
other historical data (primary or secondary
sources).