The discrete random variable X∼B(20,0.41)X \sim B(20, 0.41)X∼B(20,0.41)
Previous research by a restaurant found that 30% of customers will order a starter. One one day a random sample of 40 customers is taken and 7 order a starter.
Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)
Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.
State the conclusion you would have reached if you tested at the 10% significance level.
33 exam-style questions on Edexcel AS 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.