Final answer:
The data type for the church people attend is categorical, whereas the number of times per week represents quantitative discrete data. Participant observation is likely the research method used by a symbolic interactionist.
Step-by-step explanation:
The answer to this is categorical because it deals with different groups or categories of churches rather than numerical values. In contrast, the question about the number of times per week is a quantitative discrete type of data because it counts the number of occurrences within a defined period, which can be counted and therefore has a distinct value.
For the research technique used by a symbolic interactionist, the most likely method would be participant observation. This technique involves the researcher immersing themselves in the population they are studying, which aligns with the symbolic interactionist's focus on understanding human behavior through the analysis of social processes such as communication and symbolic exchange.