ANOVA and ANCOVA require independent random sampling, i.e. observations from each group must be independent. (
ANOVA can be used with both continuous and categorical variables, but it assumes normality and homogeneity of variance across groups.
If the p-value from the F-test is less than or equal to the significance level (usually set at .05), we reject the null hypothesis and conclude that there are significant differences among the groups.
In ANOVA, the null hypothesis states that all population means are equal.