wrong end of the stick

A wrong idea about something, a misconception.

Japanese Meaning

誤った考え方 / 誤解 / 勘違いといった意味で捉えられる

She accused me of stealing, but she had the wrong end of the stick, I had only moved the books to the shelf.

彼女は私が盗んだと非難したが、それは誤解で、私は本を棚に移しただけだった。

Sense（1）

A wrong idea about something, a misconception.