OCR S3 2010 January — Question 7

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

7 A chef wished to ascertain her customers' preference for certain vegetables. She asked a random sample of 120 customers for their preferred vegetable from asparagus, broad beans and cauliflower. The responses, classified according to the gender of the customer, are shown in the table.
  1. Test, at the \(5 \%\) significance level, whether vegetable preference and gender are independent.
  2. Determine whether, at the \(10 \%\) significance level, the vegetables are equally preferred.