CAIE S2 2019 November — Question 4 6 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionNovember
Marks6
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

4 A train company claims that \(92 \%\) of trains on a particular line arrive on time. Sanjeep suspects that the true percentage is less than \(92 \%\). He chooses a random sample of 20 trains on this line and finds that exactly 16 of them arrive on time. Making an assumption that should be stated, test at the 5\% significance level whether Sanjeep's suspicion is justified.
[0pt] [6]