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3. Suppose you are a member of your university's student organization, and you want to survey students on whether they would like to hold a eoncert at the end of the year. 1You decide to survey students using a simple random sample from the student roster, to ensure that there is no sampling bias. You are interested in a 95% condence level for your estimates. a. A friend of yours, Alex, suggests that you survey SI} of the university's 50,000 students. Another friend, Jesse, suggests that you instead survey ll} of the university's 511,000 students. Jesse says that this is worth the effort, since it will cut your margin of error in half. Is this correct? Explain why or why not. Remember to show all your work. h. How many students would you have to survey to have a margin of error that is half of what it would be for a sample of size 50'? Show all your workl