It's Japan - so having a bath is an important feature, which I do. In fact, I think it would be pretty rare to find a place with just a shower. It's kind of a bath shower/combo, as is typical of Japanese homes and looks something like this:
http://media-cdn.tripadvisor.com/media/photo-s/01/16/27/30/t...
In here, the bath is covered as Japanese usually share the same bath water amongst the family (you wash in the shower before getting in - it's more about relaxation than cleaning).
That being said, I never use my bath.