Answered: Use the sample data and confidence…

Name: Use the sample data and confidence level given below to complete parts
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1049 and x=541 who said "yes." Use a 99% confidence leve

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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Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1049 and x=541 who said "yes." Use a 99% confidence level.

a) Find the best point estimate of the population proportion p.

_____

(Round to three decimal places as needed.)

b) Identify the value of the margin of error E.

E=____

(Round to three decimal places as needed.)

c) Construct the confidence interval.

___<p<____

(Round to three decimal places as needed.)

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

One has 99%confidence that the sample proportion is equal to the population proportion.

There is a 99%chance that the true value of the population proportion will fall between the lower bound and the upper bound.

One has 99%confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D. 99% of sample proportions will fall between the lower bound and the upper bound.

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