Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound = 0.134, upper bound = 0.606, n= 1200 The point estimate of the population proportion is (Round to the nearest thousandth as needed.)
Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound = 0.134, upper bound = 0.606, n= 1200 The point estimate of the population proportion is (Round to the nearest thousandth as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Determining the Point Estimate of a Population Proportion**
To determine the point estimate of the population proportion, the margin of error for a given confidence interval, and the number of individuals in a sample with a specific characteristic \( x \), consider the following information:
- **Lower bound of the confidence interval**: 0.134
- **Upper bound of the confidence interval**: 0.606
- **Sample size \( n \)**: 1200
**Steps to Calculate the Point Estimate:**
1. **Point Estimate Calculation:**
\[
\text{Point Estimate} = \frac{\text{Lower bound} + \text{Upper bound}}{2}
\]
2. **Margin of Error Calculation:**
\[
\text{Margin of Error} = \frac{\text{Upper bound} - \text{Lower bound}}{2}
\]
3. **Sample Calculation for Characteristic \( x \):**
\[
x = \text{Point Estimate} \times n
\]
**Final Task:**
- Calculate and round the point estimate to the nearest thousandth as needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91e372cb-e18f-47dd-a904-4f86460a4ddf%2F00cea686-115e-4e5b-90a8-9136057cd8ea%2Frk19r5g_processed.png&w=3840&q=75)
Transcribed Image Text:**Determining the Point Estimate of a Population Proportion**
To determine the point estimate of the population proportion, the margin of error for a given confidence interval, and the number of individuals in a sample with a specific characteristic \( x \), consider the following information:
- **Lower bound of the confidence interval**: 0.134
- **Upper bound of the confidence interval**: 0.606
- **Sample size \( n \)**: 1200
**Steps to Calculate the Point Estimate:**
1. **Point Estimate Calculation:**
\[
\text{Point Estimate} = \frac{\text{Lower bound} + \text{Upper bound}}{2}
\]
2. **Margin of Error Calculation:**
\[
\text{Margin of Error} = \frac{\text{Upper bound} - \text{Lower bound}}{2}
\]
3. **Sample Calculation for Characteristic \( x \):**
\[
x = \text{Point Estimate} \times n
\]
**Final Task:**
- Calculate and round the point estimate to the nearest thousandth as needed.
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