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The phrase "a significantly lower probability" is correct and usable in written English.
It can be used when discussing statistical likelihoods or comparisons between different scenarios or outcomes.
Example: "The new treatment has a significantly lower probability of side effects compared to the previous one."
Alternatives: "a markedly reduced likelihood" or "a considerably diminished chance".
Exact(41)
A change in self-reported status from citizen to non-citizen predicts a significantly lower probability of voting.
Moreover, initiated deals have a significantly lower probability of being completed when the courts' friendliness toward target shareholders increases.
Without management buy-in, the evaluation will have a significantly lower probability of success.
They say their research shows there is a "significantly lower probability of someone from a non-white ethnic background, or from a lower social-class background, or who attended a non-selective or a non-fee-paying secondary school, receiving an offer".
Women who solo-author all their papers have roughly the same chance of receiving tenure as a man; women who coauthor most of their work have a significantly lower probability of receiving tenure, even after controlling for things like productivity differences, school, year of tenure, field, and coauthor selection.
Compared with a voluntary survey without important consequences, high-stakes testing situations lead to higher motivation and a significantly lower probability of guessing and skipping test tasks.
Similar(19)
The older respondents (born in 1948 and 1954) had a statistically significantly lower probability of exceeding the WTP level of the private treatment price than the comparison group of the 'younger' 1960-and 1957-born respondents.
Figure 24 depicts the fragility curves of the analysis model structures, where it can be observed that the structures designed with friction dampers have significantly lower probability of reaching the collapse state than the strength-designed structure.
Furthermore, individuals who reported having children had significantly lower probability of participating in drinking, but if they drink, they tend to drink less in comparison to respondents without children.
However, males had significantly lower probability of return to jail for any reason than females (β = −.708, S.E. = .223, p < .01), as did non-White relative to White defendants (β = −.726, S.E. = .347, p < .05); while felony level defendants (β = .504, S.E. = .226, p < .05) and those with more prior arrests had a significantly higher likelihood of return to jail (β = .109, S.E. = .020, p < .01).01
Counter-intuitively, individuals living in households with lowest monthly consumption per capita had significantly lower probability of death (OR = 0.27, 95% CI = 0.20 0.38).
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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