1. A nutritionist would like to determine the proportion of OSU students who are vegetarians. He surveys a random sample of 585 OSU students and finds that 54 of these students are vegetarians. From this information, calculate the sample proportion below and round your answer to three decimal places. 2. Would we call the value you computed to answer Question 1 a parameter or a statistic? Please explain. 3. The nutritionist decides to construct a 99% confidence interval to estimate the population proportion of OSU students who are vegetarians. In your opinion, what might be a reason for choosing to construct a 99% confidence interval as opposed to a 90% or a 95% confidence interval? 4. Using the information provided in Question 1, construct a 99% confidence interval and show all work below. Be sure to clearly label your upper and lower bounds. Lower bound: Upper bound