The phrase "a substantially higher risk" is correct and usable in written English.
It can be used when discussing the likelihood of negative outcomes or dangers in a particular situation, often in a comparative context.
Example: "Investing in volatile markets presents a substantially higher risk than traditional investments."
Alternatives: "a significantly greater risk" or "a markedly increased risk".
Babies born at North Central Bronx also run a substantially higher risk of some serious problems.
Minority participants, particularly women, were at a substantially higher risk for depressive symptoms.
Women who carry mutations in genes called BRCA are already known to have a substantially higher risk of breast cancer, at around 65%.
Using the data, the study extrapolated a substantially higher risk of fatigue-related accidents in the extra hours of service allowed by the new rules.
Researchers at Stanford University found that carrying a copy of a gene variant called ApoE4 puts women at a substantially higher risk for Alzheimer's disease than men.
Now there is something else for them to think about: women who have had hysterectomies have a substantially higher risk of having urinary incontinence in later years, a new study reports.
Beth Watts, in research for the Joseph Rowntree Foundation, found that under-25s face a substantially higher risk of being sanctioned than older adults, with 8% of this age group now affected per month.
HAIs and other quality issues are a challenge across the health care system, particularly for academic medical centers, whose patient populations contain many more complex cases where infection is a substantially higher risk.
Hospital-acquired infections and other quality issues are a challenge across the health care system, particularly for academic medical centers, whose patient populations contain many more complex cases where infection is a substantially higher risk.
Compared with opioid users who did not use benzodiazepines, concurrent use of both drugs was associated with a substantially higher risk of an emergency room visit or inpatient admission for opioid overdose.
Diabetes patients with chronic wounds, usually in the form of ulcers, face a substantially higher risk of infection and infected limbs must often be amputated to prevent the spread of infection.
