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Two Year 12 students, Jade and Yunus, are the cycling safety officers for their school. XOne day they examined the bicycle tyres of all the

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Two Year 12 students, Jade and Yunus, are the cycling safety officers for their school. XOne day they examined the bicycle tyres of all the bikes in the school bike and were! `disappointed to find that 20% had at least one tyre with an unsafe tread. As Coult, they decided to undertake a campaign, presenting assemblies to all students on the importance of road-safety and arranging for a related email to be sent to all parents. At the start of the following term, 18 bikes were stopped at random on the way in to school and their tyres were inspected. Just one of the bikes had an unsafe tyre. Jade and Yunus ask you to carry out a suitable hypothesis test to examine whether their campaign appears to have been successful. Mathematics . 1 of 2 12/11/20 MEI Education integralmaths.org Innovation MEI AS Maths Hypothesis testing Assessment (a) State your hypotheses clearly, justifying the form of the alternative hypothesis. [2] (b) Carry out the test at the 5% significance level, stating your conclusions clearly. [3] (c) State, with a reason, the critical value for the test. [2]

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