Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are pictured here. Food Rent $333 $417 Other Fun $500 $250 What percent of her total spending did she spend on Rent? Answer to the nearest whole percent. Submit Question

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**Budget Allocation Analysis**

Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are illustrated in the diagram below.

### Spending Breakdown (Pie Chart)

- **Rent:** $417
- **Food:** $333
- **Fun:** $250
- **Other:** $500

The pie chart visually represents the proportion of spending in each category, showing how a total budget is distributed across these four areas.

### Calculation Task

**Question:** 
What percent of her total spending did she spend on Rent? Answer to the nearest whole percent.

**Answer Field:**
[ _______ ] %

[Submit Question]

To determine the percentage spent on Rent, use the formula: 

\[ \text{Percentage} = \left( \frac{\text{Amount Spent on Rent}}{\text{Total Spending}} \right) \times 100 \]

Make sure to round to the nearest whole percent before submitting your answer.
Transcribed Image Text:**Budget Allocation Analysis** Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are illustrated in the diagram below. ### Spending Breakdown (Pie Chart) - **Rent:** $417 - **Food:** $333 - **Fun:** $250 - **Other:** $500 The pie chart visually represents the proportion of spending in each category, showing how a total budget is distributed across these four areas. ### Calculation Task **Question:** What percent of her total spending did she spend on Rent? Answer to the nearest whole percent. **Answer Field:** [ _______ ] % [Submit Question] To determine the percentage spent on Rent, use the formula: \[ \text{Percentage} = \left( \frac{\text{Amount Spent on Rent}}{\text{Total Spending}} \right) \times 100 \] Make sure to round to the nearest whole percent before submitting your answer.
### Statistical Analysis of Student Opinions on New Legislation for School Uniforms

**Question:** A student polls her school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 564 students and finds that 79% are against the new legislation.

**Task:** Compute a 90% confidence interval for the true percent of students who are against the new legislation, and interpret the confidence interval.

**Instructions:**
1. Compute the 90% confidence interval.
2. Provide your computed range with at least two decimal places.
3. Do not express your answers as percentages; enter them as decimal values.

**Submission Form:**

```
[      ] < _______________ < [      ]

[Submit Question]
```

**Explanation of Errors:** 
There are multiple warnings at the top related to the question code, indicating issues with scalar values and arrays in the file path `/var/app/current/assess2/`. This does not affect the task of computing the confidence interval but should be addressed by the technical team to ensure a smooth user experience.

---

To begin solving this problem, you would use the formula for a confidence interval for a proportion:

\[ \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \]

Where:
- \( \hat{p} \) is the sample proportion (0.79)
- \( Z \) is the Z-score corresponding to the 90% confidence level (approximately 1.645)
- \( n \) is the sample size (564)
Transcribed Image Text:### Statistical Analysis of Student Opinions on New Legislation for School Uniforms **Question:** A student polls her school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 564 students and finds that 79% are against the new legislation. **Task:** Compute a 90% confidence interval for the true percent of students who are against the new legislation, and interpret the confidence interval. **Instructions:** 1. Compute the 90% confidence interval. 2. Provide your computed range with at least two decimal places. 3. Do not express your answers as percentages; enter them as decimal values. **Submission Form:** ``` [ ] < _______________ < [ ] [Submit Question] ``` **Explanation of Errors:** There are multiple warnings at the top related to the question code, indicating issues with scalar values and arrays in the file path `/var/app/current/assess2/`. This does not affect the task of computing the confidence interval but should be addressed by the technical team to ensure a smooth user experience. --- To begin solving this problem, you would use the formula for a confidence interval for a proportion: \[ \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \] Where: - \( \hat{p} \) is the sample proportion (0.79) - \( Z \) is the Z-score corresponding to the 90% confidence level (approximately 1.645) - \( n \) is the sample size (564)
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