(a) Prove that in a 2 x c contingency table for which the rows are proportional, that is, xlJ" = kX2 • that x 2= o. This J2 is clearly the smallest value that x can assume. (b) Show that in a 2 x c...

(a) Prove that in a 2 x c contingency table for which the rows

are proportional, that is, xlJ" = kX2 • that x

2= o. This

J2 is clearly the smallest value that x can assume.

(b) Show that in a 2 x c contingency table.

(c) Explain why the x2 test provides a test of H0 : p11 = p12 =

p = ••• = p in this case, where p1J. can be interpreted 13 le

as the probability of falling into the jth classification in

sampling from population 1 and p2j has the same interpretation for population 2.