Use a ?² Test to Test the Claim That in the Given

Essay

Use a ?² test to test the claim that in the given contingency table, the row variable and the column variable are independent
-In the chi-square test of independence, the formula used is $\chi ^ { 2 } = \frac { \Sigma ( \mathrm { O } - \mathrm { E } ) ^ { 2 } } { \mathrm { E } }$ . Discuss the meaning of $\mathrm { O }$ and $\mathrm { E }$ and explain the circumstances under which the $\chi ^ { 2 }$ values will be smaller or larger. What is the relationship between a significant $\chi ^ { 2 }$ value and the values of $\mathrm { O }$ and $\mathrm { E }$ ?