Several factors are involved in the creation of a confidence interval. Among them are the samplesize, the level of confidence, and the margin of error. Which statements are true?1.For a given sample size, higher confidence means a smaller margin of error.2.For a specified confidence level, larger samples provide smaller margins of error.3.For a fixed margin of error, larger samples provide a greater confidence.4.For a given confidence level, halving the margin of error requires a sample twice aslarge.For a given sample size reducing the margin of error will mean lower confidence.For a certain confidence level, you can get a smaller margin of error by selecting abigger sample.For a fixed margin of error, smaller samples will mean lower confidence.7.For a given confidence level, a sample 9 times as large will make a margin of error onethird as big.8.56

Answered: Several factors are involved in the…

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

Several factors are involved in the creation of a confidence interval. Among them are the sample
size, the level of confidence, and the margin of error. Which statements are true?
1.
For a given sample size, higher confidence means a smaller margin of error.
2.
For a specified confidence level, larger samples provide smaller margins of error.
3.
For a fixed margin of error, larger samples provide a greater confidence.
4.
For a given confidence level, halving the margin of error requires a sample twice as
large.
For a given sample size reducing the margin of error will mean lower confidence.
For a certain confidence level, you can get a smaller margin of error by selecting a
bigger sample.
For a fixed margin of error, smaller samples will mean lower confidence.
7.
For a given confidence level, a sample 9 times as large will make a margin of error one
third as big.
8.
56

Expert Solution

Step 1 :Introduction

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Sample size :

The number of people or observations enclosed during a study is said as sample size.
The letter n is often wont to indicate this range.
The sample size has an impression on 2 applied math properties:
1) the accuracy of our calculations, and 2) the study's ability to form conclusions.

Confidence level :

When you take a random sample varied times, the arrogance level refers to the proportion of likelihood, or certainty, that the arrogance interval can contain the important population parameter.