According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below.**Links to Standard Normal Distribution Tables:**- [Click here to view the standard normal distribution table (page 1).](#)- [Click here to view the standard normal distribution table (page 2).](#)**Questions:****(c) Describe the sampling distribution of $\hat{p}$,** the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.- Since the sample size is 100, which is no less than 5% of the population size and $ np(1 - p) = $ [Blank for entry] $ > 10 $, the distribution of $\hat{p}$ is approximately normal with $ \mu_{\hat{p}} = 0.80 $ and $ \sigma_{\hat{p}} = 0.040 $. (Round to three decimal places as needed.)**(d) In the sample obtained in part (a), what is the probability that the proportion of people who are satisfied with the way things are going in their life exceeds 0.83?**- The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.83 is [Blank for entry]. (Round to four decimal places as needed.)**(e) Using the distribution from part (c),** would it be unusual for a survey of 100 people to reveal that 72 or fewer people in the sample are satisfied with their lives?- The probability that 72 or fewer people in the sample are satisfied is [Blank for entry], which [Dropdown for selection] unusual because this probability [Blank for entry] less than [Blank for entry]%. (Round to four decimal places as needed.)

Solution: Given information: n= 100 Sample size p= 0.80 Population proportion.

Answered: According to a study, the proportion of…

According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained.

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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