34. Still living online The Pew Research poll described in Exercise 5 found that 56% of a sample of 1060 teens go online several times a day. (Treat this as a simple random sample.) a) Find the margin of error for this poll if we want 95% confi- dence in our estimate of the percent of American teens who go online several times a day. b) Explain what that margin of error means. c) If we only need to be 90% confident, will the margin of error be larger or smaller? Explain. d) Find that margin of error. e) In general, if all other aspects of the situation remain the same, would smaller samples produce smaller or larger margins of error?36. Take the offer First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1 184 registered. a) Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer. b) If the acceptance rate is only 2% or less, the campaign won't be worth the expense. Given the confidence interval you found, what would you say