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.