In the 2015 federal election, 39.5% of the electorate voted forthe Liberal party, 31.9% for the Conservative party, 19.7% for theNDP, 4.7% for the Bloc Quebecois and 3.5% for the Green party. Themost recent pool as of the launch of the 2019 election campaignshows a tie between the Liberals and the Conservatives at 33.8%.This pool was based on 1185 respondents.

(a) Based on this recent pool, test whether this is sufficientevidence to conclude that the level of support for theconservatives has increased since the last election. Use the 5%level of significance and show your manual calculations.

(b) Using recent pool data, build an appropriate 95% one-sidedconfidence interval for the true proportion of support for theconservatives. Is this CI consistent with your conclusion in a)above?

(c) Would your conclusion be the same as in a) above if you hadused a 10% confidence level for the hypothesis test?

(d) Now, suppose you want to estimate the national level ofsupport for the Liberals at the start of the 2019 campaign using a95% 2-sided confidence interval with a margin of error of  1%based on the results of the last election, what sample size wouldbe required

(e) Would the sample size calculated above be sufficient toestimate the support for the Bloc Quebecois within the same levelof confidence and margin of error? If not, how many morerespondents would you need?