Two-Sample Tests for Proportions & F-Test for Variances

Compare two independent binary probabilities using a pooled score test and two normal-population variances using an F ratio. Calculate pooled counts, expected cells, ordered degrees of freedom and directional or two-sided probabilities. Evaluate sparse data, pairing, skewness and ratio reorientation. Prerequisites: one-sample proportion and variance tests. A final algebraic bridge connects the binary score test to a two-by-two Pearson statistic. Includes single-select and multiselect practice with worked solutions and explanations of distractors.

References: 7.3.3 Common-proportion estimator and Z statistic, 1.3.5.9 Ratio, ordered degrees of freedom, critical regions and sensitivity, Parameters and alternative definitions.