CAIE S2 2007 November — Question 1 5 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2007
SessionNovember
Marks5
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

1 Isaac claims that \(30 \%\) of cars in his town are red. His friend Hardip thinks that the proportion is less than \(30 \%\). The boys decided to test Isaac's claim at the \(5 \%\) significance level and found that 2 cars out of a random sample of 18 were red. Carry out the hypothesis test and state your conclusion. [5]