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The phrase "a hypothesis that" is correct and usable in written English.
It can be used when introducing a proposed explanation or assumption that can be tested through research or experimentation.
Example: "The study presents a hypothesis that increased exercise leads to improved mental health outcomes."
Alternatives: "a theory that" or "an assumption that".
Exact(60)
It was a hypothesis that seemed almost obvious.
"It's a hypothesis that is plausible, but difficult to prove.
However, there is a hypothesis that can explain both patterns.
Dr. Manson said it was a hypothesis that merited further study.
"I think it's a hypothesis that has to be on the table," he said.
You examine evidence, you put together a hypothesis that seems the most likely, or least wrong.
The result of their analysis was a hypothesis that is an exemplary "association study".
Whenever Toyota defines a specification, it is establishing a hypothesis that is then tested through action.
Busk and his team are developing a hypothesis that may explain what is happening.
7. Treat the development plan as a hypothesis that will evolve as new information becomes available.
WE HAVE A HYPOTHESIS: that too many interesting ideas about architecture are never shared.
More suggestions(22)
a hypothesis that deserves
a rational hypothesis that
a credible hypothesis that
a theoretical hypothesis that
draw a hypothesis that
a scenario that
a experiment that
a proposition that
a prediction that
a theory that
a conjecture that
a presumption that
a supposition that
a presupposition that
a assumption that
a hypothetical that
a possibility that
a case that
a notion that
a suggestion that
a premise that
a assumed that
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com