Find the probability that at least 3 of 9 darts hit the bullseye. Billy then believes he has improved after six of his next 20 darts hit. For part (b), use $H_0:p=0.2$, $H_1:p>0.2$ and $X\sim B(20,0.2)$ under $H_0$.

Calculate the exact p-value.

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