Registrar's Office conducted a study of independence between two binary variables, (X, Y ). Variable X indicates individual performance (High or Low) and Y characterizes a student's status (Graduate or Undergraduate). A group of n = 600 respondents has shown summaries as follows.

OBSERVED FREQUENCIES

	Undergraduate	Graduate	Row Sum
High	311	139	450
Low	89	61	150
Column Sum	400	200	600

EXPECTED COUNTS

	Undergraduate	Graduate	Row Sum
High			450
Low			150
Column Sum	400	200	600

Test independence of (X, Y ) at the significance level = 0.05

• Find ESTIMATED EXPECTED COUNTS under the null hypothesis of homogeneity / independence between gender and satisfaction and place them into the table provided above.
• Evaluate the TEST STATISTIC for this study
• Specify CRITICAL VALUE (or VALUES) required for hypothesis testing procedure.
• Formulate REJECTION RULE and then state your decision about independence.