Use this calculation table for the chi-square test for goodness-of-fit to complete this exercise.
|
Category
|
Observed
(O)
|
Expected
(E)
|
O-E
|
(O-E)2
|
(O-E)2
E
|
|
1
|
750
|
625
|
125
|
15625
|
25
|
|
2
|
650
|
625
|
25
|
625
|
1
|
|
3
|
600
|
625
|
25
|
625
|
1
|
|
4
|
700
|
625
|
75
|
5625
|
9
|
a. Calculate degrees of freedom for this chi-square test for goodness-of-fit.
Dfx2 =K-1 = 2-1 =1
b. Perform all of the calculations to complete this table.
c. Compute the chi-square statistic.
X2 = ∑ [ (O-E)2 ] = 25+1+1+9 = 36
E