b) Two research workers classified some people in income groups on the basis of sampling studies.

Question

Their results are as follow: Investigater    Income group    Total     poor    middle    rich     A    160    30    10    200 B    140    120    40    300 Total    300    150    50    500  Show that the sampling technique of atleast one research worker is defective

Answer 1

 

b. Two research workers classified some people in income groups on the basis of sampling studies.

 

Their results are as follow:

Investigators	Income groups			Total
	Poor	Middle	Rich
A	160	30	10	200
B	140	120	40	300
Total	300	150	50	500

 

Show that the sampling technique of at least one research worker is defective.

Answer 2

 

 

Answer 3

Answer
Let us make the hypothesis that the techniques adopted by both the groups are
similar and the data is similar also.
Expected frequencies are
investigator Income groups total
poor middle rich
A 120 60 20 200
B 180 90 30 300
Total 300 150 50 500
λ
2
=∑
 
 
 
=
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Degree of freedom = (3-1)(2-1)=2
Table value of 2 λ
2
for 2 degree of freedom at 5% level of significance is 5.991. Since
the calculated value is bigger than the table value, we conclude the rejection of null
hypothesis at 5% level of significance. Technique adopted by one of two groups in
data collection is defective.