Questions: Problem 4: A school district is interested in raising property taxes to fund a new gymnasium. They interview 1,000 property owners to see if they support the proposal. They chose to interview 500 property owners who currently have students and 500 who do not. The results are below in a table. With Students Without Students --------------------------------- Support 502 455 Oppose 498 545 (a) Suppose the school district made a graph for the results of their study. They made a stacked bar graph (provided below). Based on this graph, which claim is more reasonable? Indicate your choice. Option 1: There is not a meaningful relationship between support for the new gym and whether or not a property owner currently has students.

Problem 4: A school district is interested in raising property taxes to fund a new gymnasium. They interview 1,000 property owners to see if they support the proposal. They chose to interview 500 property owners who currently have students and 500 who do not. The results are below in a table. With Students Without Students --------------------------------- Support 502 455 Oppose 498 545 (a) Suppose the school district made a graph for the results of their study. They made a stacked bar graph (provided below). Based on this graph, which claim is more reasonable? Indicate your choice. Option 1: There is not a meaningful relationship between support for the new gym and whether or not a property owner currently has students.
Transcript text: Problem 4: A school district is interested in raising property taxes to fund a new gymnasium. They interview 1,000 property owners to see if they support the proposal. They chose to interview 500 property owners who currently have students and 500 who do not. The results are below in a table. \begin{tabular}{|l|cc|} \hline & With Students & Without Students \\ \hline Support & 502 & 455 \\ Oppose & 498 & 545 \\ \hline \end{tabular} (a) Suppose the school district made a graph for the results of their study. They made a stacked bar graph (provided below). Based on this graph, which claim is more reasonable? Indicate your choice. Option 1: There is not a meaningful relationship between support for the new gym and whether or not a property owner currently has students.
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Solution

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Solution Steps

Step 1: Analyze the table

The table shows that out of 500 property owners with students, 502 support the proposal and 498 oppose it. Out of 500 property owners without students, 455 support the proposal and 545 oppose it.

Step 2: Analyze the graph

The stacked bar graph visually represents the data from the table. It shows the proportion of support and opposition for each group (with students and without students). The graph makes it appear that support and opposition are relatively similar regardless of having students in the district.

Step 3: Evaluate Option 1

Option 1 states there isn't a meaningful relationship between support for the new gym and whether a property owner has students. The data supports this claim. The percentages of support and opposition are very close between the two groups, suggesting that having students doesn't strongly influence opinion on the new gym.

Final Answer:

Option 1 is the more reasonable claim. The similar levels of support and opposition between the two groups suggest having students doesn't significantly impact a property owner's stance on funding the new gym.

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