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, \( n = 1061 \) and \( x = 591 \) 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 \( p \).[Round to three decimal places as needed.]\(\square\)b) Identify the value of the margin of error \( E \).\( E = \square \)[Round to three decimal places as needed.]c) Construct the confidence interval.\(\square < p < \square\)[Round to three decimal places as needed.]d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.- A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.- B. One has 95% confidence that the sample proportion is equal to the population proportion.- C. 95% of sample proportions will fall between the lower bound and the upper bound.- D. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. **Standard Normal (z) Distribution Table**This table provides the probabilities associated with the standard normal distribution (also called z-distribution), which is used in statistics to determine the likelihood of a random variable falling within a particular range of values. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.**Understanding the Table:**The table is divided into rows and columns that correspond to z-scores. A z-score represents the number of standard deviations a data point is from the mean.- **Rows (z):** These indicate the whole number and first decimal place of the z-score (e.g., 0.0, 0.1, ..., 2.0).- **Columns:** Represent the second decimal place of the z-score (e.g., .00, .01, ..., .09).**Example of Table Usage:**To find the probability of a z-score of 1.95:1. Locate the row for 1.9.2. Move across to the column for .05.3. The intersection gives the probability: 0.9750.This means that approximately 97.50% of the data falls below a z-score of 1.95.### Probability Values:- **z = 0.0** - .00: .5000 - .01: .5040 - .09: .5359 - **z = 0.1** - .00: .5398 - .01: .5438 - .09: .5753 - **z = 1.0** - .00: .8413 - .01: .8438 - .09: .8599- **z = 1.5** - .00: .9332 - .01: .9345 - .09: .9418- **z = 2.0** - .00: .9772 - .01: .9778 - .09: .9817Note: These values are part of the cumulative distribution function (CDF) for the standard normal distribution, representing the area under the curve to the left of the specified z-score.

Given information We have given that; in the poll out of 1061 respondents 591 said yes. Sample size…

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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write your answers legibly and follow the formulas indicated on the picture. thank you !
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