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In the 2019 Canadian Federal Election, 34.41% of the electorate voted for the Conservative
party, 33.07% for the Liberal party, 15.93% for the NDP, 7.69% for the Bloc Quebecois,
6.50% for the Green party, and 1.64% for the People's party.
a) [4 marks] A recent poll of 1,500 respondents found that 31.82% support the
Conservative party. Test whether this is sufficient evidence to conclude that the level of
support for the Conservative party has dropped since the election. Use a 2% level of
significance and show your manual calculations.
b) [2 marks] Suppose you want to estimate the national level of support for the
Conservatives using a 98% 2-sided confidence interval with a margin of error of 1%.
What sample size would be required?
c) [4 marks] Suppose that, in a random sample of 25 University of Ottawa (uOttawa)
students, only 4 indicated a preference for the Conservatives. Test whether this is
sufficient evidence to indicate that the level of support for the Conservatives among
uOttawa students is lower than the 34.41% share of the popular vote in 2019. Use a 2%
level of significance and show how you would calculate the p-value for this test.

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a) support has dropped b) sample size of... View the full answer

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