Academic advisors conduct a comparative study among two INDEPENDENTLY SELECTED groups of students about their intention to graduate within the next THREE years. Group I consisted ofn₁= 200 students from Natural Science and Math (NSM) school and group II includedn₂= 100 students who major in Business. It turned out thatX₁= 111 NSM students andX₂= 69 Business majors plan to graduate. Answer YES means that response was positive. Below are the summaries.

Group	Size =n	Yes =X	Proportion
NSM	n1= 200	X1= 111	(p)1= 111/200 = 0.555
Business	n2= 100	X2= 69	(p)2= 69/100 = 0.69
POOLED	n1+n2= 300	X1+X2= 180	p = 180/300 = 0.6

At the significance level= 0.01,do you have enough evidence to conclude that the theoretical proportion in the NSM is LOWER than in Business?

1. Evaluate the Test Statistic

2. Specify the Critical Value

3. State the Rejection Rule

After that, formulate your decision: whether you have enough evidence to reject the hypothesis about equality of theoretical proportions. IMPLEMENT the rejection rule.