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4: With a simple random sample of 2000 Canadians (all working full-time), we document that they work on average 38 hours. We also document a standard deviation for this sample of .5 hours. . 1 4a. Create a.95% confidence interval around this mean. Provide a very brief interpretation of this confidence interval. 1 4b. Do the same with a.90% confidence interval, with a brief statement on what this says of the. likely value of mean number of hours working among all Canadians working full time. 1 4c. Do the same with a.99% confidence interval, with a brief statement on what this says about the likely value of the mean number of hours working. .1 4d. Which confidence interval is the widest of la, 1band 1c, and why? 1 4e. What if our sample was 20,000 rather than 2000 Canadians. Create a.95% interval for the. 20,000 Canadians. .How does it differ from our initial estimate of a.95% confidence interval and why? Which estimate would you prefer?.15.The following are the results from a recent poll of Canadians on their smoking behavior.A total sample of 1300 Canadians were interviewed. This included . 150 persons interviewed in Atlantic Canada, 300 in Quebec, 300.in Ontario, 250 in the . Prairie provinces and 300. in.BC. . NOTE: The sample sizes in this poll are typical of our national polls in Canada Smoking Behavior Canada Atlantic Canada Quebec Ontario Prairies B.C. Smoker 252 63 57 45 Non-Smoker 1048 111 237 243 212 355 Total sample 1300 150 300 300 250 300 Working with this sample, all of your calculations below must involve "confidence intervals". In. so doing, follow the convention of setting alpha at .05 with all calculations." 5a. What proportion of Canadians are smokers?.1 5b. What proportion of Atlantic Canadians smoke (note: sample size is only 150 here)? What about Quebecers (n=300)? What about Ontario (n=300)? The Prairies (n=250)?.BC.(n=300)?.1 5c. Let's assume the Headline in the Toronto Sun in summarizing this poll states: "Quebecers are much more likely to smoke than Ontario residents" Critique this headline.1