Dear Donna,
There is a shift in project management for sure, but still it depends on the type of the project that you are running.
There are number of factors that I'm taking into account when choosing or proposing the right methodology such as industry, dependencies, scope, flexibility, trust (if the project is for the client) etc.
I work in IT industry where agile is quite popular but from my experience if the Client is new they usually insist on traditional (waterfall) project and after some time it becomes hybrid - taking into account that the change requests process takes time. Also, the Client is more flexible to introduce the change during the project without too much administration and they are not aware of all the details at the beginning of the project.