I have a population (X1) that's made of a sequence of single digits (0-9). My second population is a psuedo-random Uniform[0,9] distribution (X2). I would like to use the following test statistic:

With the following null/alternative hypothesis:

H0: There is no difference between population X1 and population X2

H1: There is a difference between the two populations

Essentially, I'm trying to show that the first population is also psuedo-random by comparing it distirbution that I know is psuedo-random.

Is this possible?