I don’t know for sure how it’s written, I’ve only heard it in conversation (in Japanese language TV shows on TV Japan, so there aren’t subtitles).
Also I don’t know how to do kana or kanji on my keyboard, so I will have to do it in romaji. This is why I can’t look it up on any online translation source, none of them seem to accept romaji input.
Moo shika shite
or it might be two words, like
mooshi kashite
or some other configuration. It must be a common phrase, I hear it a lot. From context, I’m guessing it’s something like “do you think that…” or “you don’t suppose that…”
Am I close?