Actually we shouldn't say "Me too" in responsing to a negative question because "too" is used for positive responses in the meaning of as well but I am not sure; a native will express it better. It may be, however, possible in spoken English. In spoken language nothing is impossible
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PeaceblinkfriendAm I correct that you would only say 'me too' if what you are replying to is positive?I like that. - Me too.
For example,
A: I can't do that. I just don't have the experience.
B: ( B can't say 'me too', right? )
Thank you.
PBF
PeaceblinkfriendAm I correct that you would only say 'me too' if what you are replying to is positive?The negative equivalent of "me too" is "me neither".
I'm tired. - Me too / Same hereI've heard "sama here" for the first time
I'm not tired. - Me neither / Same here