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The phrase 'hypothesis states that' is correct and can be used in written English.
It is used when introducing a theory or opinion that is based on evidence. For example, "The hypothesis states that a diet high in antioxidants can help reduce the risk of certain cancers."
Exact(60)
The hypothesis states that 39 placental mammalian lineages — not 39 mammalian lineages — may have survived.
The matching hypothesis states that recovery strategies are most effective when they match particular sport demands.
Overall, however, the hypothesis states that early school entry is beneficial in the long run.
A "funnel hypothesis" states that these daily flows are central for crime concentrations within a city.
This null hypothesis states that ranks obtained per dataset are globally similar.
Under this test, the null hypothesis states that all variables are exogenous while the alternative hypothesis states that insurance coverage is a linear projection of a set of instruments.
Guidance hypothesis states that too frequent feedback negatively affects learning (Park et al. 2000; Anderson et al. 2005; Schmidt 1991).
The "uncanny valley" hypothesis states that robots appearing nearly-human are much more unsettling than those that don't look human at all.
Conversely, the 'selective constraints hypothesis' states that such taxa are present, but N-fixing symbioses would lower their fitness.
The null hypothesis states that θ = 0.
The null hypothesis states that only "background" respiratory disease is present in the surveillance region.
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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