Let’s say that we wish to estimate the true proportion of college students in WA who attend classes full time (meaning more than a specific number of credit hours per term - this is usually at least 12 credits). How large a sample is required to estimate this with 99% confidence? For the sake of this problem, assume we have no prior estimate of the proportion to go on. We wish to have a spread of no more than 3% between the upper limit and lower limit of the interval, so assume a margin of error of 1.5%. To receive full credit, provide all information you used to arrive at your answer. (There is a formula for this, so I expect you to show where each detail comes from, along with your answer in proper format). In your opinion, is this result obtainable? Explain your answer.