"hypothesis supported" is correct and usable in written English.
You can use it when you want to refer to an idea or theory that has been corroborated by evidence or research. For example, "This study provides evidence to support the hypothesis that increased exercise leads to weight loss."
Is this hypothesis supported by the data?
We also have an interesting hypothesis, supported by some suggestive evidence, which attributes this phenomenon to important and lasting effects of outstanding teaching at an early age.
"Behavioural mechanisms, such as physical inactivity, might also link long working hours and stroke; a hypothesis supported by evidence of an increased risk of incident stroke in individuals who sit for long periods at work.
This hypothesis supported by the results obtained from numerical simulations.
In our study, we had a hypothesis supported by theory and previous reports in septic patients.
This suggested that robustness to NIS could be polymorphic across rice diversity, an hypothesis supported by other reports (Prabhu et al. 1996).
Mutual mate choice is one proposed explanation for the evolution of ornaments expressed in both males and females, a hypothesis supported by the increasing empirical evidence of mutual mate choice in species with a male-biased OSR.
Although all this cooperation and movement makes the insects adaptable, scientist have wondered if this also makes them more susceptible to infectious diseases a hypothesis supported by recent observations that massive colonies sometimes suddenly collapse with no obvious external cause.
In response to this kind of point, Chomskyans point out that the innateness of UG is an empirical hypothesis supported by a perfectly respectable inference to the best explanation.
For example, the principle of continence requires one to act on the basis of all available considerations, and the principle of total evidence requires one to believe the hypothesis supported by all of one's evidence.
It's a hypothesis supported by a Harvard study published in May, which estimated that the death toll in Puerto Rico was closer to 5,000 and found that most deaths in the months after Hurricane Maria were a result of interruption of medical care.
