나대지의 뜻이 뭔가요?
In this webtoon that I'm reading a character says: ”조용히 좀 살면 안 돼? 왜 나대지를 못해 안달 아냐고?”
I'm guessing that 나대지 is from the verb 나대다 since the actual word 나대지 doesn't make much sense in context.
Is it a typo (나대지 instead of 나대기)? A grammatical construction? Or is it actually 나대지?
If you could give me a rough translation of the phrase it'd be great!
Thank you in advance!

Question

나대지의 뜻이 뭔가요?
In this webtoon that I'm reading a character says: ”조용히 좀 살면 안 돼? 왜 나대지를 못해 안달 아냐고?” 
I'm guessing that 나대지 is from the verb 나대다 since the actual word 나대지 doesn't make much sense in context.
Is it a typo (나대지 instead of 나대기)? A grammatical construction? Or is it actually 나대지? 
If you could give me a rough translation of the phrase it'd be great!
Thank you in advance!

Answer

나대지를 못하다 is an emphasis form of 나대지 못하다
나대다 : interfere
나대지 못하다 : cannot interfere above all.

e.g.
그는 걷지 못한다 He cannot walk.
그는 걷지를 못한다 He cannot walk above all.

를 : A postpositional particle used to indicate an emphasis.
e.g.
나는 무섭다는 아이를 끌고 치과에를 갔다.
승규는 잃어버린 열쇠를 아직도 찾지를 못했다.
나는 아직 초보라 운전할 때 겁이 나서 빨리를 못 간다.
가: 지수는 오늘 왜 안 왔어? 
나: 모르겠어요. 전화를 해도 받지를 않아요.

Answer

The meaning of 나대다 is close to 'to get full of oneself'. You says 'private major' when a private soldier acts like they know everything. 나대다 is something like this.

Answer

interfere and 나대다 is bit different.

imo 나대다 is much closer to being snob, smattering, making a fuss, etc