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Hypothesis Testing

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Question 94

The discrete random variable X∼B(30,0.5)X \sim B(30, 0.5)X∼B(30,0.5)

a.

Find P(12≤X≤20)P(12 \leq X \leq 20)P(12≤X≤20)

[2]
b.

A cafe expects 50% of customers to order a coffee with their breakfast. On one particular day a random sample of 40 customers that ordered breakfast is taken and 27 of them ordered a coffee. Test at the 1% significance level whether the proportion of customers ordering a coffee had increased. State your hypotheses clearly.

[5]
c.

State the conclusion you would have reached if a 5% significance level had been used for this test.

[1]
Markscheme

Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Hypothesis Testing

153 exam-style questions on Edexcel A Level Maths Hypothesis Testing, covering 7.1 Hypothesis Testing, 7.2 Finding Critical Values, 7.3 One-Tailed Tests, and 7.4 Two-Tailed Tests. Each one has a worked solution and a mark scheme showing where the marks go.

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