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The phrase "test showed that" is grammatically correct and can be used in written English.
It is typically used to introduce the results or findings of a test or experiment. Example: The lab test showed that the new medication was effective in reducing symptoms of the common cold.
Exact(59)
The test showed that Annie had cystic fibrosis.
Another test showed that his liver was not working normally.
(The test showed that the fetus was genetically normal).
A later test showed that the DNA from the rapist matched that of Mr. Johnson.
Mr. Jagger denied paternity until a blood test showed that he was the boy's father.
A routine blood test showed that my husband's cholesterol level is too high.
A separate test showed that it was valid and that no drugs were present.
A routine test showed that his left eye was almost totally useless.
That test showed that she had never been exposed to the disease.
The test showed that she had pancreatic cancer, so she was given chemotherapy for that cancer.
Yet another test showed that her fetus was genetically a female but had a penis.
More suggestions(16)
test demonstrated that
trial showed that
criterion showed that
screening showed that
experimentation showed that
test indicated that
experiment showed that
test illustrated that
test confirmed that
test displayed that
evidence showed that
test acknowledged that
assay showed that
tester showed that
test revealed that
tested showed that
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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