Please use Rstudio

Question 6 A certain department in AUT has 11 staff including 5 professors. Each staff member has their own office. Everyone wants an office with a window but there are only 7 offices with windows. All 5 professors have awindow in their office. . In the context of assessing whether professors are more likely to secure an office with a window than non-professors, state a sensible null hypothesis . Bearing in mind that professors generally like to spend their day looking out of the window, and also bearing in mind that professors are more likely than non-professors to be able to choose an office with a window (and to displace non-professors who have nice offices), is a one-sided test or a two-sided test more appropriate? Justify. . Using R idiom such as fisher. test (x), test your null hypothesis. Interpret your result in a way in which a busy professor, who has a window in her office but is not a professor of statistics, could understand. . Give an example of a two-by-two contingency table that you encounter in your personal day-to-day life. State what your observation is, what your null is and what it means, and carry out a Fisher's exact test. State whether a one-sided or two-sided test is used, and justify this. Interpret your findings in non-statistical language