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2 Statistics

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Question 512

A company states that each pen is defective with probability 0.08.

a.

Find the probability that at least 2 of a sample of 15 pens are defective. An employee then claims that the defect probability exceeds 0.08 after three of a random sample of 20 pens are defective. For part (b), use H0:p=0.08H_0:p=0.08H0​:p=0.08, H1:p>0.08 H_1:p>0.08\,H1​:p>0.08 and X∼B(20,0.08)X\sim B(20,0.08)X∼B(20,0.08) under H0H_0H0​.

[2]
b(i).

Calculate the exact p-value.

[2]
b(ii).

State the decision at the 5% level and give a conclusion in context.

[2]
b(iii).

Describe a Type I error in this context.

[1]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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