Question

4. In a Canada Day poll, 1009 Canadians were asked “What are things about Canada that make you proud?” 88% of respondents said the flag, 80% said hockey, and 44% said the Canadian justice system. The poll was reported accurate to within +3.1%, 19 times out of 20. a) Use confidence intervals to interpret the poll results. b) At the time of the poll, Statistics Canada estimated Canada's population at 34 019 000. Determine the range of people in Canada, based on this poll, who would answer hockey makes them proud of Canada. c) If the polling company conducted this same survey using the same sample size, but used a confidence level of 99%, what would happen to the margin of error? Explain. WHAT DO You Think Now? Revisit What Do You Think? on page 209. How have your answers and explanations changed? NEL

Answer 1

Question 4

Here as we interpret that we are 95% confident that 88% +- 3.1% people feel pride about flag, 80% +- 3.1% feel pride about hockey and 44% +- 3.1% feel pride about judicial system.

(b) Estimated people to feel pride about hockey system = 3,40,19,000 * 80/100 = 2,72,15,200

Range of peopl = 27215200 +- 3.1 * 34019000/100 = (2,61,60,611, 2,82,69,789)

(c) Here if we increase the confidence interval from 95% to 99%, that would increase the margin of error.