CAIE Further Paper 4 2021 June — Question 2

Exam BoardCAIE
ModuleFurther Paper 4 (Further Paper 4)
Year2021
SessionJune
TopicChi-squared distribution

2 A driving school employs four instructors to prepare people for their driving test. The allocation of people to instructors is random. For each of the instructors, the following table gives the number of people who passed and the number who failed their driving test last year.
Instructor \(A\)Instructor \(B\)Instructor \(C\)Instructor \(D\)Total
Pass72425268234
Fail33344158166
Total1057693126400
Test at the 10\% significance level whether success in the driving test is independent of the instructor.