6. Two schools in the same town advertise at the same time for new heads of English and History departments. The number of applicants for each post are shown in the table below.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | English | History |
| Highfield School | 32 | 14 |
| Rowntree School | 48 | 26 |
Stating your hypotheses clearly, test at the \(10 \%\) level of significance whether or not there is evidence of the proportion of applicants for each job being different in the two schools.
(11 marks)
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