12 The table shows information for England and Wales, taken from the UK 2011 census.
| Total population | Number of children aged 5-17 |
| 56075912 | 8473617 |
A random sample of 10000 people in another country was chosen in 2011 , and the number, \(m\), of children aged 5-17 was noted.
It was found that there was evidence at the \(2.5 \%\) level that the proportion of children aged 5-17 in the same year was higher than in the UK.
Unfortunately, when the results were recorded the value of \(m\) was omitted.
Use an appropriate normal distribution to find an estimate of the smallest possible value of \(m\).
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