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2.5 Statistical hypothesis testing

2.5 Statistical hypothesis testing

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Question 15

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

2.5 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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