please solve 2.3 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 2.3. The professor tells the class that a 90% confidence interval for the parameter is constructed exactly like a 95% confidence interval, except that you have to go only 1.65 SDs on either side of the estimate (11.65) instead of 2 SDs on either side (:2). Assign smallest_num to the smallest number of students they should sample to ensure that a 90% 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. : smallest_num smallest_num : grader .check( "q2_3 ")