Answer to Question #294999 in Statistics and Probability for Khalil

Question

X = [0.01, 0.36, 0.97, 0.44, 0.86, 0.49, 0.02, 0.19, 0.54, 0.63, 0.69, 0.27, 0.21, 0.55, 0.54, 0.1 , 0.02, 0.49 , 0.42, 0.79], is a list of 20 random numbers generated from a pseudo-random number generator G.

a. What is a uniformity test?

b. Using Chi-square Goodness-of-fit test with 4 bins, test whether X belongs to U(0, 1) based on 5% significant level.

c. Can we conclude G generates truly random numbers following the distribution U(0, 1)?