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.