1. Small p-values of the chi-squared test of independence indicate that the data have small amounts of dependence.
2. Small values of x2 imply that the null hypothesis in a chi-squared test is true.
3. The chi-squared test of independence requires at least 5 to 10 observations in each cell of the contingency table.
4. The chi-squared test of goodness of ft finds the expected cell counts based on the distribution of a random variable.
5. Similar proportions within each column of a mosaic plot suggest a small p-value in the chi-squared test of independence.