CAIE Further Paper 4 2023 November — Question 2

Exam BoardCAIE
ModuleFurther Paper 4 (Further Paper 4)
Year2023
SessionNovember
TopicChi-squared distribution

2 A town council has published its plans for redeveloping the town centre and residents are being asked whether they approve or disapprove. A random sample of 250 responses has been selected from residents in the four main streets in the town: North, East, South and West Streets. The results are shown in the table.
\cline { 2 - 5 } \multicolumn{1}{c|}{}North StreetEast StreetSouth StreetWest Street
Approve33544226
Disapprove1939289
Test, at the \(5 \%\) significance level, whether the opinions of the residents are independent of the streets on which they live.