**Survey Analysis on Presidential Approval**According to a recent survey of **1900 people**, **61%** feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel this way. **Part (a)****Part (b)****Which distribution should you use for this problem?** (Round your answers to four decimal places.)P' ~ \(N \left(\frac{}{},{ }\right)\)**Explain your choice.**- The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job."- **The standard normal distribution should be used because we are interested in proportions and the sample size is large.**- The Student’s t-distribution should be used because we do not know the standard deviation.- The standard normal distribution should be used because \(\sqrt{npq} \geq 10\), which implies a large sample.*Correct!* We use the standard normal distribution to create confidence intervals about the population proportion.**Part (c)****Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job.**1. **State the confidence interval.** (Round your answers to four decimal places.) \(\left(\frac{}{},{ }\right)\)2. **Sketch the graph.** - Diagram of a normal distribution curve. - The confidence level (C.L.) is centered under the curve. - \(\frac{\alpha}{2}\) is marked on both tails of the curve.3. **Calculate the error bound.** (Round your answer to four decimal places.) \(\frac{}{}\)This instructional content assists learners in understanding the use of standard normal distribution for calculating confidence intervals, specifically focusing on proportions derived from survey data. The graph illustrates the concept of confidence levels and the distribution of sample proportions.

Name: **Survey Analysis on Presidential Approval**According to a recent sur
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Description: **Survey Analysis on Presidential Approval**According to a recent survey of **1900 people**, **61%** feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel this way. **Part (a)****Part (

Note: We'll answer the first question since the exact one wasn't specified.Please submit a new question specifying the one you'd like answered. Let, N=1900 p=61100=0.61 q=1-p=1-0.61=0.39 The formula for Standard Normal Distribution is given by Z=X-μσ where, μ=np=1900(0.61)=1159σ=npq=1900(0.61)(0.39)=21.2605 ⇒Z=1900-115921.2605=34.8534Answer:Z=34.8534

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According to a recent survey of 1900 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) Which distribution should you use for this problem? (Round your answers four decimal places.) P- Explain your choice. O The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job." O The standard normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The standard normal distribution should be used because nog 2 10, which implies a large sample.

According to a recent survey of 1900 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) Which distribution should you use for this problem? (Round your answers four decimal places.) P- Explain your choice. O The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job." O The standard normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The standard normal distribution should be used because nog 2 10, which implies a large sample.

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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