Hypothesis Testing

This collection of Nuffield Maths resources explores Hypothesis testing. The demand is roughly equivalent to that in GCE A level. 

They include slide shows to introduce the topics, student sheets and teacher notes, as well as other relevant resources.

The teachers' notes start with a short overview of the activity, who and what it is designed for, and lists the necessary resources. The student sheets have background information where needed, and tasks for the students to work and reflect on. Extensions and solutions are included in the teachers' notes.

The collection contains the following resources:

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.

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.

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

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.  As part of this activity students use either 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.