plumiHypothesis tests for a binomial proportion: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 2.05.1 Hypothesis tests for a binomial proportion, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
All papers
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 14 questions on Hypothesis tests for a binomial proportion, as a list
- June 2025, Paper 2, Q11 (8 marks): A train company claims that a particular daily service arrives on time on 95% of days. Riley suspects that the true percentage is less than 95%. Riley tests the
- June 2025, AS Paper 1, Q12 (8 marks): A school contains 552 students. In the past the proportion of students who bought lunch at the 1. Following a change in the lunches provided in the canteen, the
- June 2024, Paper 2, Q13 (5 marks): At an election last year, 20% of voters in Aytown voted for the Now Party. A researcher plans to test whether the proportion of voters in Aytown who support the
- June 2024, AS Paper 1, Q13 (10 marks): Some students at a large school are doing a survey about attitudes to school uniform. They want to give a questionnaire to a random sample of 50 students at the
- June 2023, Paper 2, Q12 (4 marks): A student has an ordinary six-sided dice. The student suspects that it is biased against six, so that when it is thrown, it is less likely to show a six than if
- June 2023, AS Paper 1, Q11 (8 marks): Casey and Riley attend a large school. They are discussing the music preferences of the students at their school. Casey believes that the favourite band of 75%
- June 2022, Paper 2, Q12 (6 marks): A firm claims that no more than 2% of their packets of sugar are underweight. A market researcher believes that the actual proportion is greater than 2%. In ord
- June 2022, AS Paper 1, Q9 (10 marks): Last year, market research showed that 8% of adults living in a certain town used a particular local coffee shop. Following an advertising campaign, it was expe
- November 2021, AS Paper 1, Q12 (7 marks): 1). The probabilities ( 12 The variable X has the distribution B(50, 6 P X r ) for r = 0 to 50 are given = b n by the terms of the expansion of ( a ) for specif
- November 2020, Paper 2, Q10 (7 marks): Pierre is a chef. He claims that 90% of his customers are satisfied with his cooking. Yvette suspects that Pierre is over-confident about the level of satisfact
- November 2020, AS Paper 1, Q10 (8 marks): Some packets of a certain kind of biscuit contain a free gift. The manufacturer claims that the proportion of packets containing a free gift is 1 in 4. Marisa s
- June 2019, AS Paper 1, Q11 (8 marks): It is known that, under the standard treatment for a certain disease, 9.7% of patients with the disease experience side effects within one year. In a trial of a
- June 2018, Paper 2, Q9 (7 marks): Briony suspects that a particular 6-sided dice is biased in favour of 2. She plans to throw the dice 35 times and note the number of times that it shows a 2. Sh
- June 2018, AS Paper 1, Q12 (7 marks): It is known that 20% of plants of a certain type suffer from a fungal disease, when grown under normal conditions. Some plants of this type are grown using a ne
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.