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For each of four voting districts (Districts 1 through 4), the graph shows the percent of the voters in that district who voted for each of the three major candidates (Candidates X, Y, and Z) for mayor of a certain town, and the percent who voted for a candidate other than these three.
Select from the drop-down menus the options that create the most accurate statement based on the information provided.
| Text Component | Literal Content | Simple Interpretation |
|---|---|---|
| Number of districts | For each of four voting districts (Districts 1 through 4) | There are four voting districts being analyzed |
| Focus of graph | the graph shows the percent of the voters in that district who voted for each of the three major candidates | The chart breaks down what share of voters chose each major candidate |
| Candidates named | (Candidates X, Y, and Z) | The three main candidates are labeled X, Y, and Z |
| Voting for others | and the percent who voted for a candidate other than these three | Some voters picked minor (non-major) candidates as well |
| Chart Component | What's Shown | What This Tells Us |
|---|---|---|
| Chart type | Stacked bar chart with 4 categories (Districts 1-4) | Each district's results are represented as a stack adding up to \\(100\%\\) |
| Y-axis | Percentage scale from \\(0\%\\) to \\(100\%\\) | Each section reflects what proportion of the district's votes went to whom |
| Segment order/colors | Segments for 'Other', Z, Y, and X (percentages shown for each within each bar) | It's easy to visually compare sizes (percentages) between candidates/districts |
| Notable bar findings | District 2 has the lowest Candidate Z (\\(7\%\\)), District 4 has much higher Candidate Z (\\(32\%\\)) | Candidate Z is over 4 times as popular in District 4 vs. District 2 |
District 4's support for Candidate Z (\\(32\%\\)) is more than three times that in District 2 (\\(7\%\\)), which is the only combination to meet the 'three times' threshold described. Candidate Y is strong in all districts except District 3, where Candidate Z leads. Support for 'Other' candidates varies significantly, from high in District 2 (\\(29\%\\)) to very low in District 4 (\\(2\%\\)).
Voters in District 4 were more than three times as likely as voters in District [BLANK 1] to have voted for Candidate [BLANK 2].
What is needed: Which other district (1, 2, or 3), when compared to District 4, and for some candidate, has a vote percentage such that District 4's is more than three times higher.
Voters in District 4 were more than three times as likely as voters in District 2 to have voted for Candidate [BLANK 2].
What is needed: Which candidate's percentage for District 4 is more than three times District 2's percentage.
For the statement to be true, District 4 must have a candidate whose support is more than three times that of another district for the same candidate. Only Candidate Z and District 2 meet this condition, with \\(32\%\\) support in District 4 and \\(7\%\\) in District 2, giving a ratio of approximately \\(4.57\\).
The blanks are dependent: identifying the correct district depends on the candidate, and vice versa. The solution emerges only when both are found to satisfy the required ratio together.