5. A Policy Unit wished to find out whether attitudes to the European Union varied with age. It conducted a survey asking 200 individuals to which of three age groups they belonged and whether they regarded themselves as generally pro-Europe or Eurosceptic. The results are shown in the table below.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | Pro-Europe | Eurosceptic |
| \(18 - 34\) years | 43 | 21 |
| \(35 - 54\) years | 30 | 36 |
| 55 years or over | 27 | 43 |
- Stating your hypotheses clearly, test at the \(5 \%\) level of significance whether attitudes to Europe are associated with age.
(11 marks)
The survey also asked people if they voted at the last election. When the above test was repeated using only the results from those who had voted a value of 4.872 was calculated for \(\sum \frac { ( O - E ) ^ { 2 } } { E }\). No classes were combined. - Find if this value leads to a different result.