Computer programs for producing tables of random digits are often called pseudorandom-number generators because there is no way to prove that the digits are in random order. However, some properties of randomness can be tested. As an exercise, suppose that the 50 digits in row 1 of in the Appendix are a random sample.

a. State a null hypothesis about the proportion of even digits if the table is random.

b. State an alternative hypothesis that would indicate a lack of randomness.

c. Use a multinomial chi-square test with a = 0.05 to test the above null hypothesis.