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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 26

The probability of a bias dice landing on 6 is 0.4. The dice is going to be rolled 20 times.

a.

Find the probability that the dice will land on 6 exactly 5 times.

[1]
b.

Write down the hypotheses that should be used to test Polly's suspicion

[1]
c.

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

[4]
d.

Find the actual significance level of a test based on your critical region from part (c)

[1]
e.

Polly rolls the dice 20 times. The dice lands on six 11 times. Comment on Polly's suspicion in light of the experiment

[1]
Markscheme

2.5 O: Statistical hypothesis testing Questions

  1. A Level
  2. /Maths
  3. /2.5 O: Statistical hypothesis testing

162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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