Are my responsibilities as a lecturer the same as a teacher at school? I am employed at an university in my country. I am teaching the statistic. The rule of the students is to spoon feed. That is, they expect the lecturer to care about them as if they are at high-school. I told my dean that this is not my role. They said that I need to ask the students to solve the questions on the board. Also, to ask the students many times about the new subject. I told them that as I lecture, I give the new class, asking some questions. The students must prepare for their tutorials. They must work with me, then, at the end I would help them with the common difficulties they face. 

The dean disagreed with me and said that that is a very bad way of teaching. 

My question is, is my responsibility similar to the one of a high-school teacher? Please give me advice.
Teaching and studying at a university is different, and I sympathise with your frustrations. However, learning how to effectively study in a university needs to be learned as well. We cannot expect students just out of school to know how to study. So if the stats lecture takes place early in the program, as is the case with the stats lecture I teach, then you cannot expect them to behave like proper students yet. Part of the learning goals of that lecture must be to teach them how to study. Just assuming that they know how to study and how a lecture at a university works, is just going to lead to endless frustration on your part and on the students part. This means you will have to spent a substantial part of your teaching time on the learning how to study part, rather than statistics. We  do not have to pamper students, but we cannot expect miracles from them either.