The 1260 students at a certain high school are having an election for homecoming king. The candidates are Tomlinson (captain of the football team), Garcia (class president), and Marsalis (member of the marching band). At the football game a week before the election, a pre-election poll was taken of students as they entered the stadium gates. Of the students who attended the game, 203 planned to vote for Tomlinson, 41 planned to vote for Garcia, and 156 planned to vote for Marsalis.
Complete parts (a) and (b) below.
(a) Give the sample statistics estimating the percentage of the vote going to each candidate.
(b) A week after this survey, Garcia was elected Homecoming King with 51% of the vote, Marsalis got 30% of the vote, and Tomlinson came in last with 19% of the vote. Find the sampling errors in the survey expressed as percentages.