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2 Unit 2: Applied Mathematics A

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Question 77

A test of H0:p=0.3H_0:p=0.3H0​:p=0.3 against H1:p>0.3 H_1:p>0.3\,H1​:p>0.3 uses X∼B(20,p)X\sim B(20,p)X∼B(20,p) and rejects H0 H_0\,H0​ when X≥10X\geq10X≥10.

a.

Calculate the probability of a Type I error.

[2]
b.

Calculate the probability of a Type II error when p=0.5p=0.5p=0.5.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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