AQA S2 2011 January — Question 2

Exam BoardAQA
ModuleS2 (Statistics 2)
Year2011
SessionJanuary
TopicChi-squared distribution

2 It is claimed that the way in which students voted at a particular general election was independent of their gender. In order to investigate this claim, 480 male and 540 female students who voted at this general election were surveyed. These students may be regarded as a random sample. The percentages of males and females who voted for the different parties are recorded in the table.
ConservativeLabourLiberal DemocratOther parties
Male32.5302512.5
Female40252015
  1. Complete the contingency table below.
  2. Hence determine, at the \(1 \%\) level of significance, whether the way in which students voted at this general election was independent of their gender.
    ConservativeLabourLiberal DemocratOther partiesTotal
    Male480
    Female540
    Total1020