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Answer: Exercises 21 through 24 refer to the following story: The 1250 students at
Chapter 14, Problem 24(choose chapter or problem)
Exercises 21 through 24 refer to the following story: The 1250 students at Eureka 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, 42 planned to vote for Garcia, and 105 planned to vote for Marsalis.(a) Give the sample statistics estimating the percentage ofthe vote going to each candidate. (b) A week after this survey, Garcia was elected HomecomingKing with 51% of the vote, Marsalis got 30% ofthe vote, and Tomlinson came in last with 19% of thevote. Find the sampling errors in the survey expressedas percentages.
Questions & Answers
QUESTION:
Exercises 21 through 24 refer to the following story: The 1250 students at Eureka 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, 42 planned to vote for Garcia, and 105 planned to vote for Marsalis.(a) Give the sample statistics estimating the percentage ofthe vote going to each candidate. (b) A week after this survey, Garcia was elected HomecomingKing with 51% of the vote, Marsalis got 30% ofthe vote, and Tomlinson came in last with 19% of thevote. Find the sampling errors in the survey expressedas percentages.
ANSWER:Step 1 of 3
A sample statistic is used to estimate a measurable characteristic about a population. We reason that the voters in the sample will reflect the voting havis of the population. To estimate the percentage of the student body population who will vatificandidate A you measure the game.
There were a total of 350 students polled at the football game, 203 of which planned to vote for Candidate A. The sample statistic for votes going to Candidate is given by this calculation:
Let's find the sample statistic for votes going to Candidate B. Out of the total 350 students polled, 42 students planned to vote for Candidate B. The sample statistic for votes going to Candidate $B$ is given by this calculation: