The probability that 66 or fewer people in the sample are satisfied is which is not unusual because this probability is not less than 5 %. Round to four decimal places as needed.)
The probability that 66 or fewer people in the sample are satisfied is which is not unusual because this probability is not less than 5 %. Round to four decimal places as needed.)
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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answer e
Transcribed Image Text:According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.72. Suppose that a random sample of 100
people is obtained. Complete parts (a) through (e) below.
В.
The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that people may not be
responding to the question truthfully.
The sample proportion p is a random variable because the value of p varies from sample to sample. The variability is due to the fact that people may not be responding to the question
truthfully.
D.
The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that different people feel
differently regarding their satisfaction.
(c) Describe the sampling distribution of 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 no more than 5% of the population size and np(1 - p) = 20.16 2 10, the distribution of p is approximately normal with µa
= .720 and on = .045
(Round to three decimal places as needed.)
(d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.75?
The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.75 is .2514.
(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 66 or fewer people in the sample are satisfied with their lives?
The probability that 66 or fewer people in the sample are satisfied is
which is not unusual because this probability is not less than
%.
(Round to four decimal places as needed.)
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