Refer to Problem 2.31. When all rows and columns have positive probability, show that independence is equivalent to all { ij = 1). Data from

Refer to Problem 2.31. When all rows and columns have positive probability, show that independence is equivalent to all {α_ij = 1).

Data from Prob. 2.31:

Refer to Section 1.5.6. Using the likelihood function to obtain the information, find the approximate standard error of π̂.