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2 Unit 2: Applied Mathematics A

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Question 38

A company claims that 20% of customers choose a premium service. A researcher tests H0:p=0.2H_0:p=0.2H0​:p=0.2 against H1:p>0.2 H_1:p>0.2\,H1​:p>0.2 using 40 customers and the critical region X≥13X\geq13X≥13.

a.

Interpret a Type I error in context.

[1]
b.

Interpret a Type II error if the true proportion is 0.35.

[1]
c.

Calculate both error probabilities.

[4]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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