Find $P(X\ge 12)$. A cafe expects 30% of breakfast customers to order coffee. On one day, 19 of a random sample of 40 do so. For part (b), use $H_0:p=0.30$, $H_1:p>0.30$ and $Y\sim B(40,0.30)$ under $H_0$.

Explain why an upper-tail probability is required.

Calculate the exact p-value.

State the decision at the 1% level and give a conclusion in context.

State the conclusion at the 5% level.