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)
Polly rolls the dice 20 times. The dice lands on six 11 times. Comment on Polly's suspicion in light of the experiment
Practise Edexcel AS Level Maths Hypothesis Testing with exam-style questions for AS Level Maths. 8 questions, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.