AQA S2 2009 January — Question 1

Exam BoardAQA
ModuleS2 (Statistics 2)
Year2009
SessionJanuary
TopicChi-squared distribution

1 Fortune High School gave its students a wider choice of subjects to study. The table shows the number of students, of each gender, who chose to study each of the additional subjects during the school year 2007/08.
\cline { 2 - 5 } \multicolumn{1}{c|}{}Bulgarian
Climate
Change
FinancePolish
Male7312540
Female2242219
Assuming that these data form a random sample, use a \(\chi ^ { 2 }\) test, at the \(10 \%\) level of significance, to test whether the choice of these subjects is independent of gender.
(11 marks)