The probability of a bias dice landing on 6 is 0.4. The dice is going to be rolled 20 times.
Find the probability that the dice will land on 6 exactly 5 times.
Write down the hypotheses that should be used to test Polly's suspicion
Using a 10% significance level find the critical region for a two tailed test to test Polly's suspicion. You should state the probability of rejection in each tail, which should be less than 0.05
Find the actual significance level of a test based on your critical region from part (c)
Comment on Polly's suspicion in light of the experiment
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.