Educators compare students' satisfaction level using large samples from two groups.

Group I included n1 = 400 undergraduate students. Group II was formed by n2 = 200 graduate ones.

Summaries are presented in the table below.

Group	Size	Satisfied	Sample Proportion
Undergraduate	n1 = 400	X1 = 312	(p)1 = 312/400 =0.78
Graduate	n2 = 200	X2 = 138	(p)2 = 138/200 = 0.69

1. At the significance level, = 0.01, do you have evidence that population rates differ?

2. At the same significance level, do you have enough evidence to conclude that the satisfaction rate among undergraduate students is higher than for graduate ones?

Show test statistic, critical value (values) and state rejection rules in each case.