QCEVault

Mathematical Methods — Question 3

QCAA 2021, Paper 2 · 1 mark

Q3 · 2021 · Technology-activeSimple familiar1 mark

QUESTION 3

A random sample of people were surveyed about the most important factor when deciding where to shop. The results appear in the table.
FactorPercentage (%)
Price40
Quality of merchandise30
Service15
Shopping environment15
If the sample size was 1200, the approximate 95% confidence interval for the proportion of people who identified price as the most important factor is
(A)
(0.395,0.405)(0.395,0.405)
(B)
(0.386,0.414)(0.386,0.414)
(C)
(0.377,0.423)(0.377,0.423)
(D)
(0.372,0.428)(0.372,0.428)
Question linkOriginal paper

Related questions

  1. Q1 · 2025 QCAA · Paper 1 · 1 mark
    Determine the value of ∫123x2 dx\displaystyle\int_1^2 3x^2\,dx.
    Question and worked solution
  2. Q2 · 2025 QCAA · Paper 1 · 1 mark
    State the domain of the function y=ln⁡(x)y=\ln(x).
    Question and worked solution
  3. Q3 · 2025 QCAA · Paper 1 · 1 mark
    A council wants to survey residents about a new dog park. Which sampling method would best minimise bias in the survey?
    Question and worked solution
  4. Q4 · 2025 QCAA · Paper 1 · 1 mark
    Solve for xx in the equation ln⁡(x)+ln⁡(2)=ln⁡(8)\ln(x)+\ln(2)=\ln(8).
    Question and worked solution