### Confidence Interval Representation**Task:**Express the confidence interval $ 12.3\% \pm 7\% $ in interval form.**Instructions:**- Express the answer in decimal format (do not enter as percents).**Explanation:**A confidence interval provides a range of values that is likely to contain the population parameter. Here, the midpoint of the confidence interval is $ 12.3\% $, and the margin of error is $ \pm 7\% $.First, convert the percentages to decimals:- $ 12.3\% $ is $ 0.123 $- $ 7\% $ is $ 0.07 $To find the interval form:1. Subtract the margin of error from the midpoint: \[ 0.123 - 0.07 = 0.053 \]2. Add the margin of error to the midpoint: \[ 0.123 + 0.07 = 0.193 \]Thus, the confidence interval in decimal format is:\[(0.053, 0.193)\]Enter the interval in the provided format as:\[(0.053, 0.193)\]

The confidence interval is 12.3%±7%.

Answered: Express the confidence interval 12.3 %…

Math

Statistics

Express the confidence interval 12.3 % +7 % in interval form.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

### Confidence Interval Representation

**Task:**
Express the confidence interval $ 12.3\% \pm 7\% $ in interval form.

**Instructions:**
- Express the answer in decimal format (do not enter as percents).

**Explanation:**
A confidence interval provides a range of values that is likely to contain the population parameter. Here, the midpoint of the confidence interval is $ 12.3\% $, and the margin of error is $ \pm 7\% $.

First, convert the percentages to decimals:
- $ 12.3\% $ is $ 0.123 $
- $ 7\% $ is $ 0.07 $

To find the interval form:
1. Subtract the margin of error from the midpoint:
\[
0.123 - 0.07 = 0.053
\]
2. Add the margin of error to the midpoint:
\[
0.123 + 0.07 = 0.193
\]

Thus, the confidence interval in decimal format is:
\[
(0.053, 0.193)
\]

Enter the interval in the provided format as:
\[
(0.053, 0.193)
\]

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