In$$ Canada, the vast majority$(90\%)$ of companies in the chemical industry are ISO $14001$ certified. The ISO $14001$ is an international standard for environmental management systems. An environmental group wished to estimate the percentage of the$$ U$.$S$.\text{'}$s chemical companies that are ISO $14001$ certified. Of the $500$ chemical companies$$ sampled, $330$ are certified.

$$a$)$ What proportion of the sample reported being$$ certified?

$$b$)$ Create a $99\%$ confidence interval for the proportion of the$$ U$.$S$.\text{'}$s chemical companies with ISO $14001$ certification.$($Be sure to check$$ conditions.$)$ Compare to the Canadian proportion.