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2.5 Statistical hypothesis testing

2.5 Statistical hypothesis testing

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Question 13

It is known that the proportion of components from a supplier that meet a specification is 0.42. A manufacturer believes this proportion has increased, and tests a random sample of 35 components at the 5% significance level. The random variable X X\,X is the number in the sample that meet the specification.

a.

Find the least value of X X\,X for which the null hypothesis would be rejected.

[4]
b.

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

[1]
c.

In the sample, 22 components meet the specification. State the conclusion of the test in context.

[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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