OCR S2 2013 June — Question 7

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2013
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeOne-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.