This will give people a false impression.

这样会给人造成错觉。

《新英汉大辞典》

And maybe that's not a false impression; maybe it's the simple truth.

也许，这样说并非错误的印象；也许，这就是简单的事实。

youdao

You may have a false impression of the importance of credit unions.

对于信用合作社的重要性，你们可能会有错误的印象。

youdao

Reporting rising prices while exporting the same amount of goods might give a false impression of higher production.

NPR: China's Struggle To Measure Economy Clouds Outlook

Particularly rubbery wrists can also accentuate a false impression of an illegal action.

WSJ: Cricket's 'Chucking' Challenge

Failure to follow that up risks leaving even attentive readers with a false impression of progress in the field.

ECONOMIST: What newspapers don��t say matters as much as what they do