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A-LevelMathematicsProbability and statistics9709/62 · May/June 2023 · Q13 Marks

In a survey of 200 randomly chosen students from a certain college, 23% of the students said that they owned a car. Calculate an approximate 93% confidence interval for the proportion of students from the college who own a car.

  1. Calculate an approximate 93% confidence interval for the proportion of students from the college who own a car.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. [1] Expression of correct form. Any z, but z ≈ 0.8328 scores B0M0.
  2. [1] z = 1.811 or 1.812
  3. [1] 0.176 to 0.284 (3 sf) Must be an interval.

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2023 Paper 6 Variant 2, question 1.

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