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The phrase "this hypothesis states" is correct and usable in written English.
You can use it to introduce a hypothesis that you have established, for example: "This hypothesis states that there is a strong correlation between educational attainment and socio-economic status."
Exact(37)
This hypothesis states that processing structures of symbols is sufficient, in principle, to produce artificial intelligence in a digital computer and that, moreover, human intelligence is the result of the same type of symbolic manipulations.
This hypothesis states that these networks of drifting FADs could take fish to areas where they would not normally go or retain them in places that they would otherwise leave.
This hypothesis states that a disturbance regime (or pattern of disturbances) characterized by low frequency, limited gap size (that is, habitats containing only small areas cleared by disturbances), and low intensity reduces resource availability for many species.
This hypothesis states that no one ever actually gets fired from a job.
This hypothesis states that Outsourcing Back Office Activities has no significant effect on the performance of SMEs in Nigeria.
This hypothesis states that, Outsourcing Accounting Activities has no significant effect on the performance of Small and medium scale enterprises in Nigeria.
Similar(23)
This hypothesis, stated a decade ago, is now receiving considerable experimental and epidemiological attention.
However, Wright (1929) challenged this hypothesis stating that unrealistically high levels of selective pressure were necessary for the evolution of dominance in this manner [ 11].
This null hypothesis states that ranks obtained per dataset are globally similar.
This present hypothesis states that subjects with large delay-discount rates may have strong aversion to delay (i.e., waiting time), rather than risk-averse or precautious tendencies.
This latter hypothesis states that the multiple arrow worms collected for library construction would belong to several cryptic species spread within the sampled population.
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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