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Hypothesis Testing

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Question 63

The discrete random variable X∼B(10,0.5)X \sim B(10, 0.5)X∼B(10,0.5)

Previous research by a restaurant found that 50% of customers will order a starter. One day a random sample of 10 customers is taken and 2 order a starter.

a.

Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)

[2]
b.

Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.

[5]
c.

State the conclusion you would have reached if you tested at the 10% significance level.

[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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