I hate to refer to dictionaries, but just for kicks let's look at a definition:
"noun
1.
the belief in one God as the creator and ruler of the universe, withoutrejection of revelation (distinguished from
deism ).
2.
belief in the existence of a god or gods (opposed to
atheism )."
Looking at both definitions it is clear that theism would fit in your "God hypothesis".
And Wiki is useful:
Theism - Wikipedia
Theism is broadly defined as the belief in the existence of the
Supreme Being or
deities.
[1][2] In common parlance, or when contrasted with
deism, the term often describes the classical conception of
God that is found in
monotheism (also referred to as
classical theism) or
gods found in
polytheistic religions—a belief in God or in gods without the rejection of
revelation as is characteristic of
deism.
[3][4]
Atheism is commonly understood as rejection of theism in the broadest sense of theism, i.e. the rejection of belief in God or gods.
[5] The claim that the existence of any deity is unknown or unknowable is
agnosticism.
[6][7]
Think of it this way, you are either a theist or an atheist. That should be rather obvious. Both are huge groups. Atheism is a lack of belief in a god or gods, it is not an absolute statement that they do not exist. Theists believe in a god or gods.