Solution Found!
A “rigged” election? Chance (Spring 2004) presented data
Chapter 10, Problem 57SE(choose chapter or problem)
A “rigged” election? Chance (Spring 2004) presented data from a recent election held to determine the board of directors of a local community. There were 27 candidates for the board, and each of 5,553 voters was allowed to choose 6 candidates. The claim was that “a fixed vote with fixed percentages [was] assigned to each and every candidate, making it impossible to participate in an honest election.” Votes were tallied in six time slots: after 600 total votes were in, after 1,200, after 2,444, after 3,444, after 4,444, and, finally, after 5,553 votes. The data on three of the candidates (Smith, Coppin, and Montes) are shown in the accompanying table and saved in the RIGVOTE file. A residential organization believes that “there was nothing random about the count and tallies for each time slot, and specific unnatural or rigged percentages were being assigned to each and every candidate.” Give your opinion. Is the probability of a candidate receiving votes independent of the time slot, and if so, does this imply a rigged election?
Questions & Answers
QUESTION:
A “rigged” election? Chance (Spring 2004) presented data from a recent election held to determine the board of directors of a local community. There were 27 candidates for the board, and each of 5,553 voters was allowed to choose 6 candidates. The claim was that “a fixed vote with fixed percentages [was] assigned to each and every candidate, making it impossible to participate in an honest election.” Votes were tallied in six time slots: after 600 total votes were in, after 1,200, after 2,444, after 3,444, after 4,444, and, finally, after 5,553 votes. The data on three of the candidates (Smith, Coppin, and Montes) are shown in the accompanying table and saved in the RIGVOTE file. A residential organization believes that “there was nothing random about the count and tallies for each time slot, and specific unnatural or rigged percentages were being assigned to each and every candidate.” Give your opinion. Is the probability of a candidate receiving votes independent of the time slot, and if so, does this imply a rigged election?
ANSWER:
Step 1 of 2
Expected values are can be calculated as follows
Where n = 3654 is the total.
