Find $P(3<X\le 7)$. Previous research found that 30% of a restaurant's customers order a starter. On one day, 7 of a random sample of 40 customers order a starter. 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 a lower-tail probability is required.

Calculate the exact p-value.

State the decision at the 5% level and give a conclusion in context.

State the conclusion at the 10% level.