The discrete random variable X∼B(30,0.58)X \sim B(30, 0.58)X∼B(30,0.58)
A cafe expects 30% 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 19 of them ordered a coffee.
Find P(X≥12)P(X \geq 12)P(X≥12)
Test at the 1% significance level whether the proportion of customers ordering a coffee had Increased. State your hypotheses clearly.
State the conclusion you would have reached if a 5% significance level had been used for this test.
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.