OCR S2 2011 June — Question 5

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2011
SessionJune
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

5 A travel company finds from its records that \(40 \%\) of its customers book with travel agents. The company redesigns its website, and then carries out a survey of 10 randomly chosen customers. The result of the survey is that 1 of these customers booked with a travel agent.
  1. Test at the \(5 \%\) significance level whether the percentage of customers who book with travel agents has decreased.
  2. The managing director says that "Our redesigned website has resulted in a decrease in the percentage of our customers who book with travel agents." Comment on this statement.