CAIE A-Level Mathematics A2 6.4.2 Sampling Methods Questions

Practise selecting random samples and evaluating sampling methods for bias and suitability.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • use random numbers to select a simple random sample
  • identify unsuitable or biased sampling methods
  • explain why a sample is representative and appropriate

CAIE A-Level Mathematics A2 6.4.2 Sampling Methods Questions question 1

[Maximum number: 1]

At a certain large school it was found that the proportion of students not wearing correct uniform was 0.15 . The school sent a letter to parents asking them to ensure that their children wear the correct uniform. The school now wishes to test whether the proportion not wearing correct uniform has been reduced.

It is suggested that a random sample of the students in Grade 12 should be used for the test.

Give a reason why this would not be an appropriate sample.

A suitable sample of 50 students is selected and the number not wearing correct uniform is noted. This figure is used to carry out a test at the 5\% significance level.

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