The discrete random variable X X\,X has the distribution X∼B(30,0.58)X \sim B(30, 0.58)X∼B(30,0.58).
Find P(X≥12)P(X \ge 12)P(X≥12).
A cafe expects 30% of its customers to order a coffee with breakfast. On one day a random sample of 40 customers who ordered breakfast is taken, and 19 of them order a coffee. Stating your hypotheses clearly, test at the 1% significance level whether the proportion of customers ordering a coffee has increased.
State the conclusion you would have reached if a 5% significance level had been used.
40 exam-style questions on WJEC A Level Maths 2.5 Statistical hypothesis testing, covering 2.5.1 Statistical hypothesis testing, 2.5.2 Statistical hypothesis testing, 2.5.3 Statistical hypothesis testing, 2.5.4 Statistical hypothesis testing, and 2.5 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.