Connect with experts and get insightful answers to your questions on IDNLearn.com. Find accurate and detailed answers to your questions from our experienced and dedicated community members.
Sagot :
To determine the margin of error for the given confidence interval, follow these steps:
1. Identify the confidence interval: The provided confidence interval for the true difference in proportions of likely voters is from [tex]\(-0.014\)[/tex] to [tex]\(0.064\)[/tex].
2. Understand the confidence interval: The margin of error is the measure of the extent of the interval from the center point (midpoint) to either endpoint. It indicates the range within which the true difference in proportions is likely to fall.
3. Calculate the margin of error:
- First, calculate the difference between the upper bound and the lower bound of the confidence interval:
[tex]\[ 0.064 - (-0.014) \][/tex]
- Simplify the subtraction:
[tex]\[ 0.064 + 0.014 = 0.078 \][/tex]
4. Find the margin of error:
- The margin of error is half the width of the confidence interval:
[tex]\[ \frac{0.078}{2} = 0.039 \][/tex]
Therefore, the margin of error for this confidence interval is [tex]\(0.039\)[/tex].
Thus, the correct option is:
[tex]\[ \boxed{\frac{0.064-(-0.014)}{2}=0.039} \][/tex]
1. Identify the confidence interval: The provided confidence interval for the true difference in proportions of likely voters is from [tex]\(-0.014\)[/tex] to [tex]\(0.064\)[/tex].
2. Understand the confidence interval: The margin of error is the measure of the extent of the interval from the center point (midpoint) to either endpoint. It indicates the range within which the true difference in proportions is likely to fall.
3. Calculate the margin of error:
- First, calculate the difference between the upper bound and the lower bound of the confidence interval:
[tex]\[ 0.064 - (-0.014) \][/tex]
- Simplify the subtraction:
[tex]\[ 0.064 + 0.014 = 0.078 \][/tex]
4. Find the margin of error:
- The margin of error is half the width of the confidence interval:
[tex]\[ \frac{0.078}{2} = 0.039 \][/tex]
Therefore, the margin of error for this confidence interval is [tex]\(0.039\)[/tex].
Thus, the correct option is:
[tex]\[ \boxed{\frac{0.064-(-0.014)}{2}=0.039} \][/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.