identify the population proportion, the value of margin of error E, and construct the confidence interval
identify the population proportion, the value of margin of error E, and construct the confidence interval
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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identify the population proportion, the value of margin of error E, and construct the confidence interval
![### Determining Population Proportion from a Poll
A research institute conducted a poll to assess the perceived vulnerability to identity theft among respondents. Here are the details of the poll:
- Total number of respondents: \( n = 909 \)
- Respondents who felt vulnerable to identity theft: \( x = 576 \)
**Task:**
Using a 90% confidence level:
a) Find the best point estimate of the population proportion \( p \).
To proceed with the calculation, you can use the provided z-score table by clicking the icon.
[Click the icon to view a table of z scores.]
**Calculation Instructions:**
Use the formula for the sample proportion \( \hat{p} \):
\[ \hat{p} = \frac{x}{n} \]
Then round to three decimal places, as needed.
**Answer:**
[Input box for the calculated value]
**Note:**
Ensure the value is rounded to three decimal places before submitting your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bbe1ef9-cacf-48b7-b15f-bf536b5508cd%2Fcca39aab-4394-47fe-b529-0384385c655c%2Firs9bgr.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining Population Proportion from a Poll
A research institute conducted a poll to assess the perceived vulnerability to identity theft among respondents. Here are the details of the poll:
- Total number of respondents: \( n = 909 \)
- Respondents who felt vulnerable to identity theft: \( x = 576 \)
**Task:**
Using a 90% confidence level:
a) Find the best point estimate of the population proportion \( p \).
To proceed with the calculation, you can use the provided z-score table by clicking the icon.
[Click the icon to view a table of z scores.]
**Calculation Instructions:**
Use the formula for the sample proportion \( \hat{p} \):
\[ \hat{p} = \frac{x}{n} \]
Then round to three decimal places, as needed.
**Answer:**
[Input box for the calculated value]
**Note:**
Ensure the value is rounded to three decimal places before submitting your response.
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