(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) = 2 10, the distribution of p is approximately normal with Ha = 0.780 and OA =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 0.78. Suppose that
a random sample of 100 people is obtained. Complete parts (a) through (e) below.
responaing to the question truthfully.
O C. 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.
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.
(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) = 2 10, the distribution of p is approximately normal with µa = 0.780 and
p
(Round to three decimal places as needed.)
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 0.78. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. responaing to the question truthfully. O C. 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. 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. (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) = 2 10, the distribution of p is approximately normal with µa = 0.780 and p (Round to three decimal places as needed.)
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