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The phrase "the primary hypothesis" is grammatically correct and is commonly used in written English.
It refers to the main or most important assumption or theory being tested in a scientific or research study. Example: "The primary hypothesis of our study is that increased physical activity will lead to a decrease in body fat percentage."
Exact(60)
The primary hypothesis is that EDI improves customer service.
The primary hypothesis was that TAVR would not be inferior to surgical replacement.
Concerning the primary hypothesis, for each disorder, we obtained significant or highly significant evidence for an excess of associated genes at most thresholds.
The primary hypothesis was that increased attention to commonly recommended vocal hygiene practices would correlate with reduced singing voice handicap.
The primary hypothesis was that students who received IYG-Tech would significantly delay sexual initiation by ninth grade.
The Center for Schizophrenia Research will test the primary hypothesis that NMDA dysfunction leads to early sensory and higher cognitive level deficits.
The primary hypothesis was that early aspirin administration will decrease the rate of developing acute lung injury during the first 7 days after presentation to the hospital.
Conditional logistic regression will be used to test the primary hypothesis that early ASA administration will decrease the incidence of ALI.
The primary hypothesis for the quality of life component of EPHESUS is that eplerenone will improve health status as defined by the Kansas City Cardiomyopathy Questionnaire summary score.
However, this should have biased our results toward the primary hypothesis, which was not the case.
The participants could submit more than one system output, but only the primary hypothesis was considered here.
More suggestions(15)
the primordial hypothesis
the preliminary hypothesis
the primary assumption
the primary theory
the overriding hypothesis
the primary case
the primary scenario
the primary premise
the primary experiment
the major hypothesis
the key hypothesis
the primary assumptions
the primary hypothetical
the predominant hypothesis
the primary prediction
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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