8.41 Multiculturalism? Based on the online survey of a representative national sample of 1006 Canadian adults, conducted by Angus Reid, 55% think multicul- turalism has been "very good" or "good" for Canada. Further, the survey found 54% want Canada to be a melting pot where immigrants assimilate and blend into Canadian society. The poll reported a margin of error-which measures sampling variability-is +/- 3.1%, 19 times out of 20.10

a. Construct a 90% confidence interval for the propor- tion of Canadian adults who think the multicultural- ism has been "very good" or "good" for Canada.

b. Construct a 90% confidence interval for the propor- tion of Canadian adults who want Canada to be a melting pot where immigrants assimilate and blend into Canadian society.

c. How did the researchers calculate the margin of error for this survey? Confirm that their margin of error is correct.