In an organization, the employees and the managers were subject of a survey which sought to establish how they related to two colors; blue and white. They either voted for or against the two colors. The following contingency table shows the results of the baseline survey (Tammy and Dunlap 2000).
Ho: The two statistics are independent
HA: The two variables have a significant relationship
X2>X2σ (2-1) (3-1)
DF` = (#Rows – 1) * (#Columns -1)
eij = (Row i total x (column j total)
Results: Accept the null hypothesis; there is no difference, the statistics are independent.
The variables in this test were color preference and employee status- being a manager or an employee.
The statistics have not exhibited a significant difference. Therefore, the null hypothesis is accepted to indicate that the variables are independent. There is no relationship between color preference and being just an employee or a manager.
Tammy G. and Dunlap, C. (2000) “Correlation and Chi-Square” The Journal of General Psychology
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