The George High School has a student council which wants to use opinion of the students to decide on one of three possible homecoming themes for the year. President Peterson thinks that the best way to determine popular opinion is for each of the 10 members of the student council to poll 10 of their friend and select the theme that receives the most votes. Vice President Vaidya wants to go to the cafeteria during the lunch and poll 100 students to determine the winner. Treasurer Thompson says the best method would be to assign numbers to each of the 1000 students in the school, randomly select 100 of them to poll, and select the winner based on the results. Secretary Stephens argues that they must poll each of 250 members of the senior class to find the most popular theme. Whose method is most likely to accurately determine overall student opinion regarding the most popular homecoming theme?
The George High School has a student council which wants to use opinion of the students to decide on one of three possible homecoming themes for the year. President Peterson thinks that the best way to determine popular opinion is for each of the 10 members of the student council to poll 10 of their friend and select the theme that receives the most votes. Vice President Vaidya wants to go to the cafeteria during the lunch and poll 100 students to determine the winner. Treasurer Thompson says the best method would be to assign numbers to each of the 1000 students in the school, randomly select 100 of them to poll, and select the winner based on the results. Secretary Stephens argues that they must poll each of 250 members of the senior class to find the most popular theme. Whose method is most likely to accurately determine overall student opinion regarding the most popular homecoming theme?
The correct option is C Treasurer Thompson
Two factors are important in determining how to poll a group the size of the sample and how that sample is selected. Secretary Stephens's plan has the largest sample with 250 students, but all those students belong 10 to the senior class. Perhaps the senior class would prefer a theme that 10 the other three classes would not. The sample is skewed and not necessarily representative of the entire student body, so eliminate (B). The other three plans all poll 100 students, so the manner in which those students are selected becomes more important. President Peterson's plan is also skewed specifically to friends of the student council members, whose opinions might not reflect the majority, so eliminate (A). Vice President Vaiyda's plan has more potential for a varied sample, but it is still not as good as Treasurer Thompson's plan, which guarantees that a random assortment of people will be chosen for the poll. Eliminate (D), and choose (C).
Two factors are important in determining how to poll a group the size of the sample and how that sample is selected. Secretary Stephens's plan has the largest sample with 250 students, but all those students belong 10 to the senior class. Perhaps the senior class would prefer a theme that 10 the other three classes would not. The sample is skewed and not necessarily representative of the entire student body, so eliminate (B). The other three plans all poll 100 students, so the manner in which those students are selected becomes more important. President Peterson's plan is also skewed specifically to friends of the student council members, whose opinions might not reflect the majority, so eliminate (A). Vice President Vaiyda's plan has more potential for a varied sample, but it is still not as good as Treasurer Thompson's plan, which guarantees that a random assortment of people will be chosen for the poll. Eliminate (D), and choose (C).
