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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 42
a.

A hypothesis test at the 5% significance level leads to the rejection of H0H_0H0​. Explain why this does not prove that H1 H_1\,H1​ is true.

[2]
b.

Explain why lowering the significance level from 5% to 1% makes it harder to reject H0H_0H0​.

[2]
c.

For a two-tailed test on a binomial proportion at a nominal 5% significance level, the critical region chosen has an actual significance level of 2.97%. Explain why the two figures differ, and state the consequence for the test.

[2]
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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