2 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 = 1040 and x = 556 who said "yes." Use a 95% confidence level.Click the icon to view a table of z scores.a) Find the best point estimate of the population proportion p.0.535 (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.)

Answered: Use the sample data and confidence…

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

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 = 1040 and x = 556 who said "yes." Use a 95% confidence level.

Click the icon to view a table of z scores.

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

0.535
(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.)

Expert Solution

Step 1

A margin of error tells us how many percentage points your results will differ from the real population value. For example, a 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 95% of the time. More specifically, the margin of error is the range of values below and above the sample statistic in a confidence interval. The confidence interval is a way to show what the uncertainty is with a certain statistic.