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CAIE A-Level Further Math 4.3.3 Independence test

Practise testing independence in contingency tables by calculating expected frequencies, χ2 statistics and contextual conclusions.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • write hypotheses about independence between the two table classifications
  • calculate expected cell frequencies from row totals, column totals and the grand total
  • compare χ2 with the correct degrees of freedom and conclude in context

4.3.3—Independence test 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 4.3.3—Independence test 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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