〜のではないか・〜んじゃない
I think maybe; isn't it the case that
Plain form + のではないか / んじゃない(か) (な-adj, Noun + な)
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のではないか puts forward an opinion tentatively, as a question that expects "yes": 彼はもう帰ったのではないかと思う, "I think he may have gone home already". It's softer than stating it and firmer than かもしれない.
The polite form のではないでしょうか is a standard way to disagree or suggest something at work: このままでは間に合わないのではないでしょうか, "at this rate, won't we be too late?"
In speech, it becomes んじゃない?, "isn't it…?": それ、ちょっと高すぎるんじゃない?, "isn't that a bit too expensive?" んじゃないかな is "I think maybe".
Note that the ない here isn't really negative: the speaker thinks it is the case.
Examples
彼はもう帰ったのではないかと思う。
I think he may have already gone home.
このままでは間に合わないのではないでしょうか。
At this rate, won't we be too late?
それ、ちょっと高すぎるんじゃない?
Isn't that a bit too expensive?
田中さんなら知っているんじゃないかな。
I think Tanaka might know.
明日は雨が降るのではないかと心配だ。
I'm worried it might rain tomorrow.