1 a. In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees in the next 100 days.How many randomly selected employers must be contacted if we want to be 98% confident in our results with a margin of error of 5%?

b. Based on a random sample of 86 Canadian teenagers, 34 of them drink two cups of coffee per day.Determine the margin of error for a 95% confidence interval for the population proportion of Canadian teenagers who drink two cups of coffee per day.Round your answer to 3 decimals.

c.A local member of parliament would like to determine the average amount earned during summer vacation by teenagers during last year's summer vacation. She wants to be 99% confident that the sample mean is within $55 of the population mean. Based on past studies, she estimates the population standard deviation to be $475. What sample size would you recommend?

d. The weight in a large bag of chips is stated to be 180 grams (g).A group of students randomly sample 43 large bags of chips and determine the mean weight to be 176 g.Assume the population standard deviation is 24 g.Calculate a 95% confidence interval for the mean weight in a large bag of chips.

168.83 grams to 183.17 grams

169.98 grams to 182.02 grams

172.83 grams to 187.17 grams