Below are the results of two polls of random samples of high school seniors and juniors, who were asked if they approve of, disapprove of, or do not care about a proposed ban of energy drinks on high school campuses. Poll I Poll II Approve Disapprove Do Not Care Total Seniors 10 30 60 100 Juniors 12 32 56 100 Approve Owoproie De None Care Toul EDIT CALC TESTS Interval... 8: interval., 9:2 amp2Int..... 8:2-5PTInt..... A: 1-Pro 2Int...... B:2-Prop nt...... CUx2-Test... a. Compare the proportions of seniors and juniors who approve, disapprove, and do not care in the two polls. File Data Edit Craph Sta Des For each poll, use your calculator or computer software to compute a table of ected counts and x². SESTRINS Date A Approve Disapprove Do Not Care Total Regression Linear Quadratic Cubic Quartic Power Exponential Logarithmic Polynomial Sinusoidal Seniors 100 300 600 1,000 mizat Distribution Astribution of p x²-Test Observed: Expected 81 Calculae Draw om Tools Help Juniors 120 320 560 1,000 c. Explain why one value of x² is much larger than the other.

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**Poll Analysis: Energy Drink Ban on High School Campuses**

This educational resource examines the results of two polls regarding a proposed ban on energy drinks at high schools. Random samples from seniors and juniors provided insight into whether they approve, disapprove, or have no opinion on the matter. Below are details from Poll I and Poll II.

### Poll I:
- **Seniors:**
  - Approve: 10
  - Disapprove: 30
  - Do Not Care: 60
  - **Total:** 100
- **Juniors:**
  - Approve: 12
  - Disapprove: 32
  - Do Not Care: 56
  - **Total:** 100

### Poll II:
- **Seniors:**
  - Approve: 100
  - Disapprove: 300
  - Do Not Care: 600
  - **Total:** 1,000
- **Juniors:**
  - Approve: 120
  - Disapprove: 320
  - Do Not Care: 560
  - **Total:** 1,000

### Comparative Analysis:

a. **Proportions:**
   - **Approve:** In Poll I, a small proportion of both seniors (10%) and juniors (12%) approve. In Poll II, seniors approving are at 10% and juniors at 12%.
   - **Disapprove:** In Poll I, 30% of seniors and 32% of juniors disapprove. In Poll II, 30% of seniors and 32% of juniors disapprove.
   - **Do Not Care:** In Poll I, a significant number are indifferent (60% seniors, 56% juniors). In Poll II, this remains consistent (60% seniors, 56% juniors).

b. **Chi-Square (χ²) Calculation:**
   - Utilize a calculator or computer software to compute the expected counts and chi-square for each poll.
   - Expected counts help in understanding the distribution and deviations in observed data.

c. **Chi-Square (χ²) Explanation:**
   - The larger χ² value suggests a significant deviation between observed and expected frequencies. Discuss potential reasons, such as sample size differences or polling conditions, that might make one value more pronounced. 

This study highlights attitudes toward energy drink regulations among high school students, offering valuable insights into student opinions and the impact
Transcribed Image Text:**Poll Analysis: Energy Drink Ban on High School Campuses** This educational resource examines the results of two polls regarding a proposed ban on energy drinks at high schools. Random samples from seniors and juniors provided insight into whether they approve, disapprove, or have no opinion on the matter. Below are details from Poll I and Poll II. ### Poll I: - **Seniors:** - Approve: 10 - Disapprove: 30 - Do Not Care: 60 - **Total:** 100 - **Juniors:** - Approve: 12 - Disapprove: 32 - Do Not Care: 56 - **Total:** 100 ### Poll II: - **Seniors:** - Approve: 100 - Disapprove: 300 - Do Not Care: 600 - **Total:** 1,000 - **Juniors:** - Approve: 120 - Disapprove: 320 - Do Not Care: 560 - **Total:** 1,000 ### Comparative Analysis: a. **Proportions:** - **Approve:** In Poll I, a small proportion of both seniors (10%) and juniors (12%) approve. In Poll II, seniors approving are at 10% and juniors at 12%. - **Disapprove:** In Poll I, 30% of seniors and 32% of juniors disapprove. In Poll II, 30% of seniors and 32% of juniors disapprove. - **Do Not Care:** In Poll I, a significant number are indifferent (60% seniors, 56% juniors). In Poll II, this remains consistent (60% seniors, 56% juniors). b. **Chi-Square (χ²) Calculation:** - Utilize a calculator or computer software to compute the expected counts and chi-square for each poll. - Expected counts help in understanding the distribution and deviations in observed data. c. **Chi-Square (χ²) Explanation:** - The larger χ² value suggests a significant deviation between observed and expected frequencies. Discuss potential reasons, such as sample size differences or polling conditions, that might make one value more pronounced. This study highlights attitudes toward energy drink regulations among high school students, offering valuable insights into student opinions and the impact
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