| Exam Board | OCR |
| Module | S2 (Statistics 2) |
| Year | 2013 |
| Session | June |
| Topic | Approximating Binomial to Normal Distribution |
| Type | One-tailed hypothesis test |
7 Past experience shows that \(35 \%\) of the senior pupils in a large school know the regulations about bringing cars to school. The head teacher addresses this subject in an assembly, and afterwards a random sample of 120 senior pupils is selected. In this sample it is found that 50 of these pupils know the regulations. Use a suitable approximation to test, at the \(10 \%\) significance level, whether there is evidence that the proportion of senior pupils who know the regulations has increased. Justify your approximation.