Hi,
regarding the question whether 0 is in the interval, would this not work for you?
IntervalMemberQ[Interval[Int], 0.]
Now, if that is what you want then this line might solve your problem:
Tally[IntervalMemberQ[Interval[#], 0.] & /@ Table[MeanCI[RandomChoice[data1, 20]], {i, 1, 100}]]
The false counts the cases that 0 is not in the interval and true the cases when it is in the interval. If you want sentences rather then True and false, this might help:
TableForm[Tally[IntervalMemberQ[Interval[#], 0.] & /@ Table[MeanCI[RandomChoice[data1, 20]], {i, 1, 100}]] /. {True -> "Zero is in the interval.", False -> "Zero is not in the interval."}]

Cheers,
Marco