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The phrase "a hypothesis that he" is correct and usable in written English.
It can be used when discussing a hypothesis related to a male subject or when referring to a hypothesis proposed by him.
Example: "The researchers presented a hypothesis that he had developed during his studies on climate change."
Alternatives: "a theory that he" or "a proposition that he".
Exact(1)
Cook's study lays out a hypothesis that he calls "terror-management theory".
Similar(59)
Dr Richard Santen [ 5] then reviewed an hypothesis that he called the 'oestrogen paradox'.
He favors a hypothesis that has less to do with a certain fixed time period and more with the size and complexity of a given society; as people find themselves needing to cooperate with more and more strangers, belief in a high god encouraging morality helps smooth those new interactions and contributes to the overall success of the culture.
"I think it's a hypothesis that has to be on the table," he said.
A PhD candidate in neurobiology at Yale, he had developed a hypothesis that needed testing.
He formulated and proved a hypothesis that is analogous to it, but did not create the Riemann hypothesis itself.
"It's beyond the normal principles of probability," he said, adding: "It nonetheless remains a hypothesis that is well founded".
It was a hypothesis that seemed almost obvious.
This is a hypothesis that's testable.
However, there is a hypothesis that can explain both patterns.
You examine evidence, you put together a hypothesis that seems the most likely, or least wrong.
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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