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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
icon
Related questions
Question
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.
 
 
 
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.
...
(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
than 5% of the population size and np(1 - p) =
2 10, the distribution of p is
with Ha =
and on =
(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 0.82?
The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.82 is
(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 70 or fewer people in the sample are satisfied with their lives?
The probability that 70 or fewer people in the sample are satisfied is
which
unusual because this probability
less than
%.
(Round to four 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. ... (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 than 5% of the population size and np(1 - p) = 2 10, the distribution of p is with Ha = and on = (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 0.82? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.82 is (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 70 or fewer people in the sample are satisfied with their lives? The probability that 70 or fewer people in the sample are satisfied is which unusual because this probability less than %. (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL