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Quantitative research designs are rooted in the postpositivist worldview and are often used in fields like physiology and psychology. These designs focus on numerical data and statistical analysis to understand phenomena. Qualitative research designs are more exploratory and are used to understand underlying reasons, opinions, and motivations. They are rooted in fields like anthropology, sociology, and the humanities. When it comes to mixed methods research, quantitative and qualitative data are combined to provide a more comprehensive understanding of a research problem.