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The phrase "a substantially higher hazard" is correct and usable in written English.
It can be used in contexts discussing risks, safety, or health-related issues where a comparison of hazards is being made.
Example: "The new chemical process presents a substantially higher hazard than the previous method, necessitating stricter safety protocols."
Alternatives: "a significantly greater risk" or "a markedly increased danger".
Exact(2)
We advance four main findings: First, girls eligible for reimbursement under the Compulsory insurance had a substantially higher hazard of HPV vaccination initiation than girls eligible for reimbursement under the Supplementary insurance.
Fourth, girls who were personally informed about the Compulsory insurance reimbursement and the fact that they were approaching the age limit had a substantially higher hazard of HPV vaccination initiation ([HR] = 2.28, 95% CI 2.08-2.50).
Similar(58)
Babies born at North Central Bronx also run a substantially higher risk of some serious problems.
Compared to air travel, driving a car involves a substantially higher risk.
Or a substantially higher fine for littering.
You are simply getting a higher quality economy product, often for a substantially higher price.
In the event of complications from donation, women would receive a substantially higher payment than normal.
Graduates with scientific training are employed at a substantially higher rate than the national average.
That's a substantially higher percentage than the country on the whole, according to the Census Bureau.
The giant bank's prediction is for a substantially higher stock market.
Natives experience a substantially higher employment status persistence than immigrants.
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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