at a certain university, students who live in the dormitories eat at a common dining hall. recently, some students have been complaining about the quality of the food served there. the dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. one evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the dining hall needs improvement Do you think that the quality of food served here needs improvement; even though that would increase the cost of the meal plan? Yes No No opinion a) What is the population of interest? What is the population parameter of interest (that is, what number are you trying to estimate)? b) What sampling plan did the manager use to collect his data? c) In this setting; explain how bias may have been introduced based on the way this sample was selected. That is, explain how those chosen for the sample may be different from those who were not chosen with respect to their answers to the question being asked in the survey: d) How might the sample be selected differently to avoid the bias discussed in part c)? Use one of the methods from the Random Rectangle Activity: In this setting, explain how bias may have been introduced based on the way the question was worded_ That is, explain how the wording of the question might lead toward a specific answer 0 Give an alternative wording to the research question that will avoid the bias discussed in part e)?