The chance of getting a 3 on a fair spinner is 14\displaystyle \frac{1}{4}41. The spinner is spun 12 times.
Find the probability that the spinner lands on 3 exactly 2 times.
Find the probability that the spinner lands on 3 more than 4 times.
Alex believes that the spinner is not fair and the chance of the spinner landing on 3 is greater than 14\displaystyle \frac{1}{4}41. To test this claim she spins the spinner 40 times and the spinner lands on 3 15 times. Stating your hypotheses clearly, test Alex's claim at the 5% significance level.
162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.