A spinner has the probability 14\displaystyle \frac{1}{4}41 of landing on 3.
The spinner is spun 12 times. Find the probability that it lands on 3 more than 4 times.
Alex believes the spinner is unfair and that the probability of it landing on 3 is greater than 14\displaystyle \frac{1}{4}41. She spins it 40 times, and it lands on 3 on 15 of those spins. Stating your hypotheses clearly, test Alex's belief at the 5% significance level.
40 exam-style questions on WJEC A Level Maths 2.5 Statistical hypothesis testing, covering 2.5.1 Statistical hypothesis testing, 2.5.2 Statistical hypothesis testing, 2.5.3 Statistical hypothesis testing, 2.5.4 Statistical hypothesis testing, and 2.5 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.