Inference for One and Two Groups: Math Unit 7, Grade 12 (Letters & Devotion)

Description

Inference for One and Two Groups is Unit 7 of Statistics and Data Science: An Introduction to Statistical Reasoning (Part 2) (Grade 12), the Letters & Devotion Math course, complete in one printable PDF: 10 lessons, the unit check-up and the answer key, 89 pages.

• Null and alternative hypotheses for a one-sample claim about a proportion or mean
• One-sample confidence interval for a proportion and for a mean
• The relationship between margin of error and confidence level, sample size, and variability
• The correct long-run-procedure interpretation of a confidence interval, versus the probability-of-parameter misinterpretation
• The full one- and two-sample hypothesis-testing procedure
• Selection among one-sample/two-sample, proportion/mean inference procedures
• The Type I/Type II error tradeoff
• Common misinterpretations of p-values and confidence intervals
• A real two-group comparison from a public dataset, including significance, practical importance, and causal limits
• The general test-statistic formula structure shared across one-sample, two-sample, t- and z- procedures

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.