A peculiar consequence of the "smartview" of plots see updates Maple16 (plotting) is that the plot of a constant function only shows the rounding errors:

plot( arcsin+arccos, -1..1 );

Obviously Maple doesn't automatically simplify arcsin(x)+arccos(x) to Pi/2.

In ?ChiSquareIndependenceTest a contingency table is needed for input.
To construct such a table from raw data is not trivial. I suggest to include this in the statistics package.
A first try:

Crosstab := proc(A,i,j,first::evaln,second::evaln)