A college needs to know if students would support a $50 fee increase to improve library facilities. A college researcher gathered 250 students, selected randomly, for the survey using the college database. The students were asked the following: " The library is a vital part of your education. It is your source for research. Would you support a small fee increase to improve its facilities?" Of those surveyed, 73% supported the fee increase. 1. What is the sample in this case? What is the population? 2. Every statistical study seeks to answer a research question about a population. Carefully reread the two opening paragraphs above before answering the following questions. a) What question were the researchers seeking to answer? (Make sure your question is directed toward a population.) b) Will the results of the survey yield a valid answer to the research question? Explain your answer. c) If the study gives a valid answer to the research question, give a conclusion. If not, explain the problem (explain how the data are non-representative or biased) and propose a solution