Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?

According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?
Transcribed Image Text:According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?
Expert Solution
steps

Step by step

Solved in 1 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS