Students want to study the propotion of people in their university community who have tested positive for COVID at any time. They obtain a random sample of 780 students, faculty and staff, a they asked if they had ever tested positive for COVID. In the sample of 780 members of the university community, 516 had tested positive for COVID at some point. Estimate the overall proportion of the university community that has tested positive for COVID. Use a 99% confidence level. All answers to 4 decimal places please.
Students want to study the propotion of people in their university community who have tested positive for COVID at any time. They obtain a random sample of 780 students, faculty and staff, a they asked if they had ever tested positive for COVID. In the sample of 780 members of the university community, 516 had tested positive for COVID at some point. Estimate the overall proportion of the university community that has tested positive for COVID. Use a 99% confidence level. All answers to 4 decimal places please.
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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![**Study on COVID-19 Proportion in a University Community**
**Objective**: Students aim to estimate the percentage of individuals within their university community who have ever tested positive for COVID-19.
**Methodology**:
- A random sample of 780 individuals, including students, faculty, and staff, was surveyed.
- Out of this sample, 516 reported testing positive for COVID-19 at some point.
**Tasks**:
a) **Calculate the Sample Proportion (\(\hat{p}\))**:
\(\hat{p} = \) [Box for input]
b) **Determine the 99% Confidence Interval**:
\([Box for input] < p < [Box for input]\)
c) **Interpretation**:
Provide a contextually relevant interpretation of the 99% confidence interval. This will be evaluated manually, so there's no reason to worry!
**Instructions**:
- Provide all answers rounded to four decimal places.
- Ensure your interpretation effectively conveys the significance of the confidence interval in understanding the COVID-19 prevalence in the community.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85b1df31-b4c9-4507-a595-3e6b607547f1%2Fb29a6670-bf67-49c3-8e1c-fa7244fa5121%2F08pcyao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Study on COVID-19 Proportion in a University Community**
**Objective**: Students aim to estimate the percentage of individuals within their university community who have ever tested positive for COVID-19.
**Methodology**:
- A random sample of 780 individuals, including students, faculty, and staff, was surveyed.
- Out of this sample, 516 reported testing positive for COVID-19 at some point.
**Tasks**:
a) **Calculate the Sample Proportion (\(\hat{p}\))**:
\(\hat{p} = \) [Box for input]
b) **Determine the 99% Confidence Interval**:
\([Box for input] < p < [Box for input]\)
c) **Interpretation**:
Provide a contextually relevant interpretation of the 99% confidence interval. This will be evaluated manually, so there's no reason to worry!
**Instructions**:
- Provide all answers rounded to four decimal places.
- Ensure your interpretation effectively conveys the significance of the confidence interval in understanding the COVID-19 prevalence in the community.
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