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2 Unit 2: Applied Mathematics A

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Question 92

A test of H0:p=0.136H_0:p=0.136H0​:p=0.136 against H1:p<0.136 H_1:p<0.136\,H1​:p<0.136 uses X∼B(80,p)X\sim B(80,p)X∼B(80,p) and rejects H0 H_0\,H0​ when X≤5X\leq5X≤5. Suppose the true value of p p\,p is 0.07.

a.

State the event that produces a Type II error.

[1]
b.

Calculate its probability.

[2]
c.

Interpret the answer in context if X X\,X counts blue sweets.

[1]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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