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2.5 Statistical hypothesis testing

2.5 Statistical hypothesis testing

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Question 4

The random variable X X\,X has the distribution X∼B(24,0.35)X \sim B(24, 0.35)X∼B(24,0.35) under the null hypothesis H0H_0H0​: p=0.35p = 0.35p=0.35, and the alternative hypothesis is H1H_1H1​: p≠0.35p \ne 0.35p=0.35.

A two-tailed test is to be carried out at the 5% significance level, with a probability of at most 0.025 in each tail.

a.

Find the critical region for this test.

[4]
b.

Find the actual significance level of a test based on this critical region.

[1]
c.

Explain why the actual significance level is not equal to 5%.

[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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