Mathematics: Applications and Interpretation · Topic 4: Statistics and probability

AHL4.18 — Hypothesis testing and Type I and II errors

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL4.18.1

   Critical regions and testing a population mean

   Critical values, one- and two-tailed tests, and the normal or $t$ test for a mean.

2. AIAHL4.18.2

   Tests for a proportion, a Poisson mean and correlation

   Binomial and Poisson one-tailed tests and testing $\rho=0$ with technology.

3. AIAHL4.18.3

   Type I and Type II errors

   Defining both errors and calculating their probabilities.