Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2680 subjects randomly selected from an online group involved with ears. 905 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)

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**Confidence Intervals in Statistical Analysis**

---

### Understanding Confidence Intervals with Sample Data

**Scenario:**
In a study regarding cell phone use and brain hemispheric dominance, an Internet survey was distributed to 2680 participants, randomly selected from an online group involved with ears. Out of these, 905 surveys were returned. The goal is to construct a 99% confidence interval for the proportion of returned surveys.

#### Instructions:
Use the sample data and the given confidence level to complete the following parts (a) through (d).

#### Resources:
- [Click the icon to view a table of z scores.] (The link or icon usually provides a table showing standard z-score values for different confidence levels.)

#### Task:

1. **Find the Best Point Estimate:**
   Determine the best point estimate of the population proportion \( p \).

**Procedure:**
- Calculate the sample proportion (\( \hat{p} \)).
- Formula: \( \hat{p} = \frac{x}{n} \)
  - Where \( x \) is the number of returned surveys (905).
  - \( n \) is the total number of surveys sent (2680).

**Instructions Example:**
    \[ \hat{p} = \frac{905}{2680} \]
    \[ \text{Round to three decimal places as needed.} \]

2. **Graph/Diagram Explanation:**
   - No specific graph or diagram is required in part (a); just the computation of the point estimate.

**Note:** Parts (b) through (d) presumably follow and may involve further interpretation and calculation based on the point estimate and the confidence interval methodology.

---

This task is fundamental in statistical analysis to estimate the population parameters based on sample data, ensuring decisions are data-driven and statistically significant.
Transcribed Image Text:**Confidence Intervals in Statistical Analysis** --- ### Understanding Confidence Intervals with Sample Data **Scenario:** In a study regarding cell phone use and brain hemispheric dominance, an Internet survey was distributed to 2680 participants, randomly selected from an online group involved with ears. Out of these, 905 surveys were returned. The goal is to construct a 99% confidence interval for the proportion of returned surveys. #### Instructions: Use the sample data and the given confidence level to complete the following parts (a) through (d). #### Resources: - [Click the icon to view a table of z scores.] (The link or icon usually provides a table showing standard z-score values for different confidence levels.) #### Task: 1. **Find the Best Point Estimate:** Determine the best point estimate of the population proportion \( p \). **Procedure:** - Calculate the sample proportion (\( \hat{p} \)). - Formula: \( \hat{p} = \frac{x}{n} \) - Where \( x \) is the number of returned surveys (905). - \( n \) is the total number of surveys sent (2680). **Instructions Example:** \[ \hat{p} = \frac{905}{2680} \] \[ \text{Round to three decimal places as needed.} \] 2. **Graph/Diagram Explanation:** - No specific graph or diagram is required in part (a); just the computation of the point estimate. **Note:** Parts (b) through (d) presumably follow and may involve further interpretation and calculation based on the point estimate and the confidence interval methodology. --- This task is fundamental in statistical analysis to estimate the population parameters based on sample data, ensuring decisions are data-driven and statistically significant.
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