4. The 2000 students at Metrocity high school are having an election for student council president. The candidates are Ana (Honor Society president), Bob (captain of the basketball team). Ciara (member of the Yearbook club). At the last basketball game a pre-election poll was taken of the students as the entered the gym. Of the students who attended the game, 105 planned to vote for Ana, 180 planned to vote for Bob, and 82 planned to vote for Ciara. (a) (4 pts) Describe the sample for this survey. (b) (3 pts) Give the sampling proportion for this survey. (c) (3 pts) Name the sampling method used for this survey. (d) (4 pts) Is the sampling errors a result of sampling variability or of sample bias? Explain. (e) (5 pts) Give the sample statistics estimating the percentage of the vote going to each candidate. (f) (6 pts) The results of the election were Ana being elected student council president with 62% of the vote, Ciara got 24% of the votes and Bob came in last with 14% of the votes. Find the sampling errors in the survey expressed as percentages