The correct answer to this open question is the following.
Although there are no options attached, we can say the following.
The conditions that I would consider to emphasize quantitative methods or qualitative methods in my design would be the clarity that I need to use to present the kind of information that can evaluate and explain the degree of success of a family preservation program that seeks to prevent out-of-home placements of children who are at risk of child abuse or neglect by providing intensive in-home social work services.
The advantages and disadvantages of each approach would be the following.
The advantage of using quantitative information is that it represents pure facts. Numbers are "cold." Numbers can be interpreted through statistics and graphics for better comprehension. The disadvantage is that numbers seem cumbersome to many people and they need an interpretation.
On the other hand, qualitative information give us a different approach to the study. It can be better interpreted and provide different or complementary information. However, qualitative information is not so easy to quantify and is going to depend on the interpretation of the researcher.
