CAPE Applied Mathematics Unit 1 · 2017 · Paper 1 · Question Q31

Items 31--32 refer to the following contingency table which shows the observed results used to investigate whether the variables X and Y are independent. \begin{tabular}{|c|c|c|c|} \hline & X_1 & X_2 & X_3 \\ \hline Y_1 & 43 & 26 & 54 \\ Y_2 & 15 & 10 & 17 \\ Y_3 & 18 & 22 & 20 \\ \hline \end{tabular} In a chi-squared test for independence between the variables X and Y, the number of degrees of freedom is

1. (A)1
2. (B)2
3. (C)4
4. (D)8

This question uses a figure or table from the paper — you'll see it when you practise.