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CAIE A-Level Further Math AS 4.3.3 Independence Test Questions

Practise using chi-squared independence tests to assess relationships between categorical variables with Further Mathematics AS questions and mark schemes.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • Use a chi-squared test to assess whether two categorical variables are independent.

CAIE A-Level Further Math AS 4.3.3 Independence Test Questions question 1

[Maximum number: 7]

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.

Table for Question CAIE A-Level Further Math AS 4.3.3 Independence Test Questions question 1 — CAIE A-Level Further Math AS

Test, at the 5% significance level, whether the opinions of the residents are independent of the streets on which they live.

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