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The phrase "a very strong hypothesis" is correct and usable in written English.
It can be used when discussing scientific or academic theories that are well-supported by evidence or reasoning.
Example: "After conducting extensive research, we have developed a very strong hypothesis regarding the effects of climate change on marine life."
Alternatives: "a robust hypothesis" or "a solid hypothesis".
Exact(2)
It's not clear where the virus came from, but "we have a very strong hypothesis" that the pigs were infected by a human, SENASA Director Jorge Amaya said in a television interview, since no pigs had been introduced to the farm for at least 60 days.
However, numerical analysis indicates that the range of the potential φ – a very strong hypothesis in the preconditioning theory – determines entirely the width of the protected areas.
Similar(58)
PA2 is a very strong theory.
The weighted global test has a very strong null hypothesis, asserting that no gene with a positive importance weight is associated with the response, making it an appropriate test for analyzing such a data set.
In this study, we utilized the evidence from the SZGene database to build very strong hypotheses of independent and joint effects of the top seven most strongly supported risk genes for schizophrenia.
Geographical distance, although a significant factor in several models, is not a very strong one: after excluding the distance hypothesis (Model 2), precision does not decrease.
A very strong association (P=4 × 10−9) was noted by testing each SNP separately, and correcting for multiple hypotheses using permutation tests.
"This was a very strong case".
It makes a very strong case indeed".
"It was a very strong structure.
We have a very strong team.
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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