A fast-talking salesman offers you a "random digits" smartphone app that comes with a "guarantee" of randomness. You don't trust him, so you insist on testing the app by generating a sample of 100 digits. Here are the resulting frequencies of the ten digits 0 through 9 in your sample of size 100:
Digit 0 1 2 3 4
Frequency 12 11 11 4 9

Digit 5 6 7 8 9
Frequency 9 12 10 10 12Reject H0 at either the α = 0.05 or α = 0.01Reject H0 at α = 0.05 ; fail to reject H0 at α = 0.01Fail to reject H0 at either the α = 0.05 or α = 0.01