One-Sample Tests for Proportions & Variances

Compare inference for a single binary probability with inference for normal-population variance. Compute score Z statistics, exact binomial tails and chi-square variance pivots; distinguish standard deviation from variance benchmarks. Examine sparse expected counts, clustering, discrete tail conventions and sensitivity to nonnormality. Prerequisites: binomial and chi-square distributions and one-sample testing. Includes single-select and multiselect practice with worked solutions and explanations of distractors.

References: 7.2.4 Binomial model and score statistic, Parameters and alternative definitions, 1.3.5.8 Variance statistic and critical regions.