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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 6

In a test of H0H_0H0​: p=0.4p = 0.4p=0.4 against H1H_1H1​: p>0.4p > 0.4p>0.4, the test statistic is X∼B(30,0.4)X \sim B(30, 0.4)X∼B(30,0.4) when H0 H_0\,H0​ is true. The observed value of X X\,X is 17.

a.

Find P(X≥17)P(X \ge 17)P(X≥17).

[2]
b.

State whether the result is significant at the 5% significance level, giving a reason.

[1]
Markscheme

2.5 O: Statistical hypothesis testing Questions

  1. A Level
  2. /Maths
  3. /2.5 O: Statistical hypothesis testing

162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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