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2.5 Statistical hypothesis testing

2.5 Statistical hypothesis testing

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Question 9

Difficulty: Medium/Hard

The random variable X X\,X has the distribution X∼B(25,0.3)X \sim B(25, 0.3)X∼B(25,0.3) under the null hypothesis H0H_0H0​: p=0.3p = 0.3p=0.3, and the alternative hypothesis is H1H_1H1​: p<0.3p < 0.3p<0.3.

a.

Using a 5% significance level, find the critical region for this test.

[3]
b.

State the conclusion of the test if the observed value of X X\,X is 4.

[2]
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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