About this topic
Before you begin
Carry out t-tests and χ² tests and construct confidence intervals.
Learning goals
- Formulate and carry out t-tests, paired-sample tests and normal tests for a difference of means
- Construct and interpret confidence intervals for a mean or a proportion
- Carry out χ² goodness-of-fit and contingency-table independence tests
Syllabus statements covered
- Include: formulation of hypotheses and testing for a population mean using a small sample drawn from a normal population of unknown variance using a t-test; formulation of hypotheses for the difference of population means, and apply, as appropriate: a paired sample t-test, a test using a normal distribution; contingency tables and χ²-tests of goodness of fit and independence (excluding Yates’ correction for continuity); connection between confidence interval and hypothesis test; confidence interval for the population mean based on: a random sample from a normal population of known variance, a small random sample drawn from a normal population of unknown variance, a large random sample from any population; confidence interval for population proportion (including concept of sample proportion) from a large random sample; interpretation of confidence intervals and the results of a hypothesis test in the context of the problem. Exclude the use of the term ‘Type I error’, concept of Type II error and power of a test.
Choose a lesson
Work through them in order.
- Not startedt-tests and confidence intervalsNextTest a mean from a small normal sample with a t-test, build confidence intervals and connect them to two-tailed tests.
- Not startedPaired and two-sample testsNextTest a mean difference with a paired t-test and compare two independent means with a normal test.
- Not startedχ² testsNextCarry out χ² goodness-of-fit tests and contingency-table tests of independence.