In the research hierarchy there is no doubt that a research paradigm implies a research methodology hopefully the explanation of the three paradigms given above should make this very clear It is impossible to examine multiple, individual realities in any depth using quantitative methodology just as it is impossible to identify a single reality measure it or quantify it in any other way than via a quantitative methodology.
Gorman and Clayton(2005) identify the fundamental argument between the two methodologies and present a summary of qualitative and quantitative approaches to an inquiry. Although they do not argue necessarily for paradigmatic purity, it appears implicit in the distinctions between the two. they begin by examining the basic assumptions of each mode of inquiry; quantitative methodology assumes the objective reality of social facts; qualitative methodology assumes social constructions of reality(Gorman and Clayton, 2005, 24–8). These assumptions are in fact two of the basic axioms of two separate belief systems, two conflicting paradigms. There is no consensus of opinion concerning the need for pragmatic purity in research. Many social researchers see methodological dualism as the only pragmatic option. Feyerand argues that this eclectic approach to inquiry is not only possible but necessary if science is to advance, claiming that both ‘methodologies have their limitations and the only “rule” that survives is “anything goes”’ (Feyerand, 1975, 296). This is in fact the methodology associated with the post positivist paradigm. the description of the two methodologies that follows may help you to answer this question for yourself
qualitative or quantitative methodology