Central Limit Theorem in practice: single means and proportions
Learning outcomes
On watching this video, students should be able to:
- State the basic form of a confidence interval: point estimate ± confidence coefficient*standard error
- Differentiate between a standard error and a standard deviation, and a reference range and a confidence interval
- State the basic structure and steps of a hypothesis test
- Write down the basic form of a test statistic: (point estimate-null value)/standard error
- Identify when to use a one sample test.
- List the conditions when we can use the normal approximation for a sample mean and a proportion.
- Calculate a confidence interval for a mean and proportion using the normal approximation.
- Undertake a hypothesis test using the normal approximation for a mean and proportion.
- Illustrate the calculation of a two-sided p-value using with a sketch of the normal distribution and values of the test statistic.