In the Angus Reid 2009 Canada Day poll of 1000 adult Canadians (500 males and 500 females), hockey was a source of pride for 78% of males and 66% of females. (a) Find a 99% confidence interval for the true population proportion of Canadian females who feel pride in our national game of hockey. Interpret the interval. (4 points) (b) Test the hypothesis that the true population proportion of Canadian males who feel pride in hockey is bigger than 75% (Use a = 0.01). (8 points)