A random survey by Leger/Canadian Press of 1529 Canadians found that 67% of them had 'some awareness' of the recent SNC-Lavalin scandal surrounding the federal Liberal Party of Canada. Of those with some knowledge of the controversy, 41% agreed with the statement: 'Yes, the prime minister did something wrong.' Only 12% said that the prime minister 'did not do anything wrong.' Another 41% said that they were 'not sure either way.' 1. Assume you suspect the majority of the population of Canada does have 'some awarness' of the scandal unfolding. At the 1.5% level of significance test your alternative hypothesis. 2. Calculate the 98.5% one sided confidence interval for the true proportion of Canadians with 'some awarness' of the scandal. Does it agree with part a)? 3. Calculate the power of the test in part a) if you find out 60% of all Canadians actually have 'some awarness' of the scandal.