110 students at a college were asked whether they had completed their required English 101 course, and 81 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
110 students at a college were asked whether they had completed their required English 101 course, and 81 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
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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110 students at a college were asked whether they had completed their required English 101 course, and 81 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
![**Problem Statement:**
110 students at a college were asked whether they had completed their required English 101 course, and 81 students said "yes." Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
**Solution Explanation:**
To find the best point estimate for the proportion of students who completed the English 101 course, use the formula for the sample proportion:
\[
\hat{p} = \frac{x}{n}
\]
Where:
- \(\hat{p}\) is the sample proportion.
- \(x\) is the number of students who said "yes" (81).
- \(n\) is the total number of students surveyed (110).
Substitute the values into the formula:
\[
\hat{p} = \frac{81}{110} = 0.7364
\]
So, the best point estimate for the proportion of students who have completed their required English 101 course is **0.7364**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ec7a66-4213-4382-a1df-cbce598310d0%2F0567e573-a9bc-4d2f-bd48-4117e35d5fc6%2Fkzmmaup_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
110 students at a college were asked whether they had completed their required English 101 course, and 81 students said "yes." Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
**Solution Explanation:**
To find the best point estimate for the proportion of students who completed the English 101 course, use the formula for the sample proportion:
\[
\hat{p} = \frac{x}{n}
\]
Where:
- \(\hat{p}\) is the sample proportion.
- \(x\) is the number of students who said "yes" (81).
- \(n\) is the total number of students surveyed (110).
Substitute the values into the formula:
\[
\hat{p} = \frac{81}{110} = 0.7364
\]
So, the best point estimate for the proportion of students who have completed their required English 101 course is **0.7364**.
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