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2.5 Statistical hypothesis testing

2.5 Statistical hypothesis testing

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Question 8

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 Statistical hypothesis testing Questions

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

40 exam-style questions on WJEC A Level Maths 2.5 Statistical hypothesis testing, covering 2.5.1 Statistical hypothesis testing, 2.5.2 Statistical hypothesis testing, 2.5.3 Statistical hypothesis testing, 2.5.4 Statistical hypothesis testing, and 2.5 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.

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