I think someone has got the wrong end of the stick. They should have established the facts before speaking out.

我想有人误解了。他们本应该在查证事实之后再发表意见。

《柯林斯英汉双解大词典》

I think you started at the wrong end.

我认为你一开始就做错了。

youdao

We've caught the wrong end of them.

我们在比赛行将结束时遭到了误判。

youdao

weapons manufacturer Tony Stark has an epiphany when he winds up on the wrong end of some of his deadly products.

VOA: standard.2010.05.19

Aristotle, for Hobbes, had simply seen the world through the wrong end of the telescope.

对霍布斯来说，亚里士多德简单地,从望远镜的错误一端看世界。

耶鲁公开课 - 政治哲学导论课程节选

We heard an objection that said what they did was categorically wrong, like here at the end, categorically wrong, murder is murder, it's always wrong even if it increases the overall happiness of society, a categorical objection.

其中之一是说,他们的所作所为，是绝对错误的，正如后排这位所言，绝对错误，谋杀就是谋杀，总归是错的,即便能增加社会总幸福，属于绝对主义的反对。

耶鲁公开课 - 公正课程节选

Our education system is built to measure and reward the wrong end of the student.

FORBES: Clearing the Path for Learning

ValuEngine might be on the wrong end of this investment, though time will tell.

FORBES: After 14% Correction, Is China Baidu A Buy

The two realized that Gmail is often on the wrong end of a communication.

FORBES: Here Come the Featuretisements