Answer:
C. All participants in the city's recreation program
Correct, since we are interested in all the participants in the city's recreation program
Step-by-step explanation:
Previous concepts
A sampling frame by definition is "a list of all the items in your population". Or a list of all the people that we want to study.
Taking in count this definition we can analyze one by one the possible options:
A. All members of the community
False we are interested just in all the participants in the city's recreation program
B. The 500 people who got the survey
False that represent the selected people but no represent the sampling frame, since we are interested in all the participants in the city's recreation program
C. All participants in the city's recreation program
Correct, since we are interested in all the participants in the city's recreation program
D. The participants that support the initiative
False we are not interested just in the participants that support the initiative, we want all the participants in the recreation program for the sampling frame
E. The 150 people that responded
False that represent the sample obtained not the sampling frame