"high level of accuracy" is correct and usable in written English. You can use it to describe something that must be done with great precision and attention to detail. For example, "The job requires a high level of accuracy to ensure no mistakes are made.".
The G.P.S. unit records longitude and latitude every 15 minutes with a high level of accuracy.
Within those parameters, Drexel researchers said, they can identify an author "with a very high level of accuracy".
I have a talent for spotting plagiarism, a very high level of accuracy, a meticulous eye for detail, and the ability to adhere to tight deadlines while producing high quality work.
The technique applied by the researchers - accelerator mass spectrometry - allowed them to measure the very low abundances of 14C to a high level of accuracy to date the time of the animals death to within two to three years.
"Let's say we figure out all the individuals who might have a cancer, and we can predict that with a relatively high level of accuracy.
This indicates high level of accuracy in replicating topsoil values.
Besides, spectral methods have exponential rates of convergence; they also have a high level of accuracy.
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