please solve 2.2 only and circle the final answer

2. Sample Size and Confidence Level A data science class at the large Data 8 University wants to estimate the percent of Facebook users among students at the school. To do this, they need to take a random sample of students. You can assume that their method of sampling is equivalent to drawing at random with replacement from students at the school. Question 2.1. Before starting this exercise, please review Section 14.6 of the textbook. Your work will go much faster that way. Assign smallest to the smallest number of students they should sample to ensure that a 95% confidence interval for the parameter has a width of no more than 6% from left end to right end. (6 points) Note: While the true smallest sample size would have to be an integer, please leave your answer in decimal format for the sake of our tests. u smallest = . . . smallest Question 2.2. Suppose the data science class decides to construct a 90% confidence interval instead of a 95% confidence interval, but they still require that the width of the interval is no more than 6% from left end to right end. Will they need the same sample size as in 2.1 ? Pick the right answer and explain further without calculation. (6 Points) 1. Yes, they must use the same sample size. 2. No, a smaller sample size will work. 3. No, they will need a bigger sample. Type your answer here, replacing this text