Question

Major	Top Management	Middle Management	TOTAL
Management	280	220	500
Marketing	120	80	200
Accounting	150	150	300
TOTAL	550	450	1000

We want to determine if the position in management is independent of field (major) of concentration.

Provide the test statistic value from your analysis.

Answer 1

null hypothesis:Ho :position in management is independent of field  of concentration.

Alternate hypothesis:Ha :position in management is dependent of field  of concentration.

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	Top management	Middle Management	Total
	Management	275.00	225.00	500
	Marketing	110.00	90.00	200
	Accounting	165.00	135.00	300
	total	550	450	1000
chi square    χ2	=(Oi-Ei)2/Ei	Top management	Middle Management	Total
	Management	0.0909	0.1111	0.202
	Marketing	0.9091	1.1111	2.020
	Accounting	1.3636	1.6667	3.030
	total	2.364	2.889	5.253

test statistic X² =5.253

p value =0.0723

( please revert if there are other parts of this)