Comparison of student's performance involved the total of n = 600 respondents. Two groups selected were: Undergraduate and Graduate. Individual performance was measured in a binary scale (Pass or Fail). The summaries are presented below

Group	Size	Pass	Proportion
Graduate	n1 = 200	X1 = 139	(p^)1 = 139/200= 0.6950
Undergraduate	n2 = 400	X2 = 311	(P^)2 = 311/400 = 0.7775
Pooled	n= n1 +n2 =600	X= X1 + X2 = 450	p^ = 450/600=0.75

At the significance level, = 0.05, do you have sufficient evidence that population proportions DIFFER?

• Evaluate the test statistic
• Specify critical value (or values) needed for this procedure.
• State the Rejection Rule Formulate your decision