The Casino at Monte Carlo monitors one particular roulette wheel $($there are $37$ slots numbered $0$ to $36)$ over a period of time. In$\mathrm{ 1}0,000$ spins they record $4915$ red results, $4801$ black results and $284$ zeros. Use these results to give a confidence interval whose level is $80\mathrm{.}64\%$ for the probability of red on a single spin.

Q$2$ Use the data in the previous question to find the P$-$value for testing the hypothesis that the probability of a zero is exactly $1/36?$

$\mathrm{Q3}$ What does the P$-$value you got in the previous question mean about the probability of a zero? Write one sentence. $[1$ mark$]$