What is the meaning of な＋ほう

I have had a conversation with a Japanese person and I asked the question

幸せですか？

The reply was:

幸せなほうだと思います

I have seen ほう used in the same context as より when comparing two things but I’ve not seen it attached to a な type adjective top describe a state of being. Could anyone help me with this grammar point please?

Thanks.