Use the following sample information to calculate the confidence interval to estimate the population proportion. Let x be the number of items in the sample having the characteristic of interest. n = 116 and x = 57, with 99% confidence. (0.37, 0.61) (0.38, 0.62) (0.37, 0.62) (0.38, 0.57)

Use the following sample information to calculate the confidence interval to estimate the population proportion. Let x be the number of items in the sample having the characteristic of interest. n = 116 and x = 57, with 99% confidence. (0.37, 0.61) (0.38, 0.62) (0.37, 0.62) (0.38, 0.57)

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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Question

100%

Question 1: using the following sample information to calculate the confidence interval the estimate the population proportion. Let X be the number of items in the sample having the characteristic of interest. n=116 and x=57 with 99% confidence.

**Problem Statement: Confidence Interval Calculation**

Use the following sample information to calculate the confidence interval to estimate the population proportion. Let $ x $ be the number of items in the sample having the characteristic of interest.

- Sample size ($ n $): 116
- Number of items with characteristic ($ x $): 57
- Confidence level: 99%

**Determine the confidence interval from the following options:**

1. $ (0.37, 0.61) $
2. $ (0.38, 0.62) $
3. $ (0.37, 0.62) $
4. $ (0.38, 0.57) $

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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