Question
4.5.3 Qutz: Margin of Eror and Confidence Intervals
Question 9 of 10
An
confidence interval for a proportion is found to be
. What
is the sample proportion?
A. 0.56
B. 0.54
C. 0.55
D. 0.58
Question 9 of 10
An
is the sample proportion?
A. 0.56
B. 0.54
C. 0.55
D. 0.58
Ask by Gough Guerrero. in the United States
Jan 30,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sample proportion is 0.55.
Solution
To determine the sample proportion from the given
confidence interval
, we can use the following approach:
A confidence interval for a proportion is typically expressed as:
This means that the center of the interval represents the sample proportion. To find the sample proportion, calculate the midpoint of the interval:
Therefore, the correct answer is:
C. 0.55
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To find the sample proportion from a confidence interval, you can calculate the midpoint of the interval. For the interval
, the sample proportion is:
So, the answer is C. 0.55.
The margin of error can be calculated as half the width of the interval. In this case, the width is
, and half of that (the margin of error) is
. This means the sample proportion is actually
with a margin of error of
, leading to the confidence interval you’ve been given!