2 A large multinational company recruits employees from all four countries in the UK. For a sample of 250 recruits, the percentages of males and females from each of the countries are shown in Table 1.
\begin{table}[h]
\captionsetup{labelformat=empty}
\caption{Table 1}
| \cline { 2 - 5 }
\multicolumn{1}{c|}{} | England | Scotland | Wales | |
| Male | 22.8 | 17.6 | 10.8 | 6.8 |
| Female | 15.6 | 17.2 | 7.6 | 1.6 |
\end{table}
- Add the frequencies to the contingency table, Table 2, below.
- Carry out a \(\chi ^ { 2 }\)-test at the \(10 \%\) significance level to investigate whether there is an association between country and gender of recruits.
- By comparing observed and expected values, make one comment about the distribution of female recruits.
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\begin{table}[h]
\captionsetup{labelformat=empty}
\caption{Table 2}
| England | Scotland | Wales | Northern Ireland | Total |
| Male | | | | | 145 |
| Female | | | | | 105 |
| Total | | | | | 250 |