A fair spinner has five equal sections numbered 1 to 5. The spinner is spun 10 times.
Find the probability that the spinner lands on 5 exactly 2 times.
Find the probability that the spinner lands on 5 more than 3 times.
Mia believes that the spinner is not fair and that the chance of the spinner landing on 5 is greater than 15\displaystyle \frac{1}{5}51. To test this claim, she spins the spinner 35 times and it lands on 5 on 12 occasions. Stating your hypotheses clearly, test Mia's claim at the 5% significance level.
33 exam-style questions on Edexcel AS Level Maths Hypothesis Testing, covering 7.1 Hypothesis Testing, 7.2 Finding Critical Values, 7.3 One-Tailed Tests, and 7.4 Two-Tailed Tests. Each one has a worked solution and a mark scheme showing where the marks go.