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The phrase "a third hypothesis is" is correct and usable in written English.
You can use it when introducing an additional hypothesis in a discussion or analysis, particularly in academic or scientific contexts.
Example: "In our research, we have proposed two hypotheses; however, a third hypothesis is that environmental factors also play a significant role in the observed outcomes."
Alternatives: "an additional hypothesis is" or "a further hypothesis is".
Exact(29)
A third hypothesis is that America's drop in violent crime was a result of the arrival of widely available legalized abortion in the 1970s, which removed from the population millions of children who were at higher-than-average risk of growing up to become criminals.
A third hypothesis is that a common disorder underlies both conditions: ADHD and headaches.
Thus, a third hypothesis is formulated: H3: The farmer's decision to implement a QMS is affected by public policy factors.
Finally, a third hypothesis is that Chicago firms were more productive, either because of more advanced technologies or because of the greater distances between Buenos Aires and European markets meant that Argentine products were worth less, at their point of production.
A third hypothesis is that caecilians descended from lepospondyls and frogs and salamanders evolved from dissorophoids.
A third hypothesis is that the Hoxne Hoard represents the proceeds of a robbery, buried to avoid detection.
Similar(31)
A third hypothesis was that, when net present value is maximized, it is optimal to remove trees at higher relative value increment than the discount rate that is used to calculate net present value.
A third hypothesis was not validated, which provides another important finding: the planning effort presented a negative relationship on the technological capability, but a positive relationship on the insertion into relationship networks.
A third hypothesis was previously proposed by Peers et al. [ 18] and consists in a horizontal transfer of green LI818 genes to a common ancestor of heterokonts and haptophytes during a cryptic primary endosymbiosis event.
A third hypothesis was that patients who used the IDCT in an Advanced quality Improvement Program (AQIP) would have significantly better outcomes compared to users of a Usual Quality Improvement Program (UQIP).
A third hypothesis was that perceived risk of cancer among participants would not be associated with GERA uptake, as we anticipated generally low levels of perceived risk in this cohort.
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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