1. Give the critical 1. 2 values and df for testing each of the following null hypotheses for one-variable problems at 05 and

1. Give the critical 1. χ2 values and df for testing each of the following null hypotheses for one-variable problems at α 05 and α 01.

(a) H0 : π1 π2 π3 π4

(b) H0 : π1 10, π2 10, π3 80

(c) H0 : π1 25, π2 75

(d) H0 : π1 π2

(e) H0 : π1 50, π2 π3 π4 π5 π6 10