OCR S3 2010 June — Question 3

Exam BoardOCR
ModuleS3 (Statistics 3)
Year2010
SessionJune
TopicChi-squared distribution

3 The developers of a shopping mall sponsored a study of the shopping habits of its users. Each of a random sample of 100 users was asked whether their weekend shopping was mainly on Saturday or mainly on Sunday. The results, classified according to whether the user lived in the city or the country, are shown in the table.
City dwellerCountry dweller
Saturday shopper2319
Sunday shopper4216
  1. Test, at the \(10 \%\) significance level, whether there is an association between the area in which shoppers live and the day on which they shop at the weekend.
  2. State, with a reason, whether the conclusion of the test would be different at the \(3 \%\) significance level.