χ²-tests – Further Maths Paper 2 Statistics

Candidates should be able to:

• fit a theoretical distribution, as prescribed by a given hypothesis, to given data (questions will not involve lengthy calculations);
• use a $$\mathcal{X}^2$$-test, with the appropriate number of degrees of freedom, to carry out the corresponding goodness of fit analysis (classes should be combined so that each expected frequency is at least 5);
• use a $$\mathcal{X}^2$$-test, with the appropriate number of degrees of freedom, for independence in a contingency table (Yates’ correction is not required, but classes should be combined so that the expected frequency in each cell is at least 5).