AQA S3 2011 June — Question 1

Exam BoardAQA
ModuleS3 (Statistics 3)
Year2011
SessionJune
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

1 A consumer report claimed that more than 25 per cent of visitors to a theme park were dissatisfied with the catering facilities provided. In a survey, 375 visitors who had used the catering facilities were interviewed independently, and 108 of them stated that they were dissatisfied with the catering facilities provided.
  1. Test, at the \(2 \%\) level of significance, the consumer report's claim.
  2. State an assumption about the 375 visitors that was necessary in order for the hypothesis test in part (a) to be valid.