Nuffield Mathematics teaching resources are for use in secondary and further education

# Level 3 Hypothesis testing

## Successful HE applicants

Students carry out significance tests on proportions to test hypotheses about successful applicants to higher education.

## Gender differences

Students carry out significance tests on means in order to test hypotheses about the body measurements of boys and girls at different ages.

## Parking permits

Students learn about collecting data by stratified sampling and designing a questionnaire.

## Probability

Students use relative frequency to estimate probability. They find theoretical probabilities including probabilities of combined events. They use probabilities to predict the expected number of trials in which an event will occur.

## Laws of probability

The addition law for probabilities of mutually exclusive events and the multiplication law for probabilities of independent events are introduced. Students then use these laws to tackle some probability problems.

## Rain or shine

Students use sunshine and rainfall data to carry out significance tests on the difference between sample means. They use a calculator or a spreadsheet to calculate mean and standard deviation values.

## Can they tell the difference?

Students use a triangle test to decide whether or not people can tell the difference between a product and a healthier alternative.
Slides (1.6 MB)

Student sheets Word (523 KB)

Student sheets pdf (115 KB)

Teacher notes Word (72 KB)

Teacher notes pdf (95 KB)