1. The chi-square test of homogeneity can be used if hypothetical ratios are unknown but may be equal for all populations sampled.
2. A chi-square test of independence for a k x 2 table has k 2 1 degrees of freedom associated with it.
3. A chi-square test of homogeneity can be used to test the equality of the parameters in two binomial distributions.
4. The expected value and the variance of a given chi-square distribution are equal.