The discrete random variable X∼Bin(30,0.58)X\sim\operatorname{Bin}(30,0.58)X∼Bin(30,0.58).
Find P(X≥12)P(X\geq12)P(X≥12).
A café expects 30% of breakfast customers to order coffee. On one day, 19 of a random sample of 40 breakfast customers order coffee. Test at the 1% level of significance whether the population proportion ordering coffee has increased. State your hypotheses clearly.
State the conclusion that would be reached at the 5% level of significance.