Hypothesis tests for a binomial proportion: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 5.1 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.
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All 12 questions on Hypothesis tests for a binomial proportion, as a list
- June 2025, Paper 2, Q13 (9 marks): According to the Office for National Statistics, in 2022 the proportion of people in England and Wales aged 16 or over who were married or in a civil partnershi
- June 2025, AS Paper 2, Q16 (9 marks): According to government statistics, 6.45% of people in Britain are vegetarian. A researcher believes the percentage of people who are vegetarian in the village
- June 2024, Paper 2, Q12 (7 marks): A survey conducted in 2021 showed that 10% of British adults were vegetarians. A dietitian believes that the proportion of British adults who are vegetarians ma
- June 2024, AS Paper 2, Q12 (6 marks): Data collected in the twentieth century showed that the probability of a randomly selected person having blue eyes was 0.08. A medical researcher believes that
- June 2023, AS Paper 2, Q13 (6 marks): In a report published in October 2021 it is stated that 37% of adults in the United Kingdom never exercise or play sport. A researcher believes that the true pe
- June 2022, Paper 2, Q13 (8 marks): Records from the 1950s showed that 35% of human babies were born without wisdom teeth. It is believed that as part of the evolutionary process more babies are n
- June 2022, AS Paper 2, Q8 (11 marks): In 2018 research showed that 81% of young adults in England had never donated blood. Following an advertising campaign in 2021, it is believed that the percenta
- November 2020, Paper 2, Q12 (15 marks): In this question you must show detailed reasoning. A 5-sided spinner can give scores of 1, 2, 3, 4 or 5. After observing a large number of spins, Elaine models
- November 2020, AS Paper 2, Q4 (4 marks): In a certain country it is known that 11% of people are left-handed. (a) Calculate the probability that, in a random sample of 98 people from this country, 5 or
- June 2019, Paper 2, Q12 (10 marks): The jaguar is a species of big cat native to South America. Records show that 6% of jaguars are born with black coats. Jaguars with black coats are known as bla
- June 2019, AS Paper 2, Q8 (10 marks): According to the latest research there are 19.8 million male drivers and 16.2 million female drivers on the roads in the UK. (a) A driver in the UK is selected
- June 2018, AS Paper 2, Q9 (7 marks): In this question you must show detailed reasoning. Research showed that in May 2017 62% of adults over 65 years of age in the UK used a certain online social me
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