AQA Further Paper 3 Statistics 2024 June — Question 9

Exam BoardAQA
ModuleFurther Paper 3 Statistics (Further Paper 3 Statistics)
Year2024
SessionJune
TopicChi-squared distribution

9 A company owns three shops, A, B and C, which are based in different towns. Each shop gives a questionnaire to 250 of their customers, and every customer completes the questionnaire. One of the questions asks whether the customer rates the shop as good, satisfactory or poor. For shop A, 26\% of customers rate the shop as good and 38\% of customers rate the shop as poor. For shop B, 32\% of customers rate the shop as good and 40\% of customers rate the shop as satisfactory. Altogether, there are 210 good ratings and 261 satisfactory ratings. 9
  1. Complete the following table with the observed frequencies.
    \multirow{2}{*}{}Rating
    GoodSatisfactoryPoor
    \multirow{3}{*}{Shop}A
    B
    C
    9
  2. Carry out a test for association between shop and rating, using the 1\% level of significance.