Mikew99, that is the point! In Android 4.4 (which came with my phone) the Contacts app changed its name to People, and there is no more the option to hide contacts with e-mail addresses only - now ALL contacts are listed. I would be happy if it were possible to chose to display only the contacts with phone numbers, but this option is not in my version.
Apparently, all of you that are saying that this is trivial to do have older versions of Android.
Now that you mention it, I remember being frustrated with the overload of contacts and relieved when I found the setting to only display those with phone numbers.
The contacts list in the dialer in Android 4.4 does that automatically. Just touch the Search icon in the dialer to expose it.