An algorithm for generating pseudo-random numbers is to be tested. So one performs an experiment, in which the algorithm produces, say, n D 10 000 digits in ¹0; : : : ; 9º. Suppose the following frequencies are observed:

Choose an appropriate level and perform a 2-test of goodness of fit for a uniform distribution.

Digit 0 1 2 3 456 7 8 9 Frequency 1007 987 928 986 1010 1029 987 1006 1034 1026