OCR S2 2009 June — Question 4 7 marks

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2009
SessionJune
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicModelling and Hypothesis Testing
TypeSampling methods critique
DifficultyModerate -0.8 This is a straightforward S2 question testing basic understanding of sampling methods and bias. It requires recall of standard sampling issues (convenience sampling, non-representative samples) and textbook solutions (random sampling, representative samples) with no calculation or novel reasoning required. Easier than average A-level questions which typically involve some problem-solving or calculation.
Spec2.01c Sampling techniques: simple random, opportunity, etc2.01d Select/critique sampling: in context

4 A survey is to be carried out to draw conclusions about the proportion \(p\) of residents of a town who support the building of a new supermarket. It is proposed to carry out the survey by interviewing a large number of people in the high street of the town, which attracts a large number of tourists.
  1. Give two different reasons why this proposed method is inappropriate.
  2. Suggest a good method of carrying out the survey.
  3. State two statistical properties of your survey method that would enable reliable conclusions about \(p\) to be drawn.

4 A survey is to be carried out to draw conclusions about the proportion $p$ of residents of a town who support the building of a new supermarket. It is proposed to carry out the survey by interviewing a large number of people in the high street of the town, which attracts a large number of tourists.\\
(i) Give two different reasons why this proposed method is inappropriate.\\
(ii) Suggest a good method of carrying out the survey.\\
(iii) State two statistical properties of your survey method that would enable reliable conclusions about $p$ to be drawn.

\hfill \mbox{\textit{OCR S2 2009 Q4 [7]}}