QCEVault

Sampling and proportions — Question 262

Original QCE Vault practice · 1 mark

Q262 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 262

A school wants to estimate the proportion of all students who cycle to school. Which procedure is most likely to produce a representative sample?
(A)
Post a voluntary poll in the cycling club chat.
(B)
Ask the first 5050 students at the bike racks.
(C)
Ask 5050 students who arrive before 77 am.
(D)
Randomly select 5050 students from the full enrolment list.
Question linkSyllabus coverage

Related questions

  1. Q9 · Original practice · 1 mark
    In a random sample of 200 voters, 54 support a proposal. The sample proportion is
    Sampling and proportions
  2. Q19 · Original practice · 1 mark
    For repeated samples of size 400 from a population with proportion p=0.30p=0.30, the standard deviation of p^\hat p is closest to
    Sampling and proportions
  3. Q34 · Original practice · 3 marks
    A population has proportion p=0.60p=0.60. For random samples of size 250, determine the mean and standard deviation of the sampling distribution of p^\hat p.
    Sampling and proportions
  4. Q44 · Original practice · 5 marks
    A manufacturer claims that the proportion of defective components is p=0.08p=0.08. In a random sample of 300 components, 34 are defective. Assuming the claim is correct, use a normal approximation to determine the probability of obtaining a sample proportion at least as large as the observed value. Comment on whether the result would be unusual at the 5% level.
    Sampling and proportions