Edexcel S3 2016 June — Question 2

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2016
SessionJune
TopicChi-squared distribution

2. A researcher investigates the results of candidates who took their driving test at one of three driving test centres. A random sample of 620 candidates gave the following results.
\multirow{2}{*}{}Driving test centre\multirow{2}{*}{Total}
\(\boldsymbol { A }\)BC
\multirow{2}{*}{Result}Pass9911068277
Fail108116119343
Total207226187620
  1. Test, at the \(5 \%\) level of significance, whether there is an association between the results of candidates' driving tests and the driving test centre. State your hypotheses and show your working clearly. You should state your expected frequencies correct to 2 decimal places. The researcher decides to conduct a further investigation into the results of candidates' driving tests.
  2. State which driving test centre you would recommend for further investigation. Give a reason for your answer.