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

SL4.11 — Hypothesis testing

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

1. AISL4.11.1

   Hypotheses, significance and p-values

   Setting up H0 and H1, significance levels, and the p-value decision rule.

2. AISL4.11.2

   The chi-squared test for independence

   Contingency tables, expected frequencies, degrees of freedom and the test statistic.

3. AISL4.11.3

   The chi-squared goodness of fit test

   Testing whether data fits a given distribution with df = n - 1.

4. AISL4.11.4

   The two-sample t-test

   Comparing two population means using the p-value with one- and two-tailed tests.