A national health organization warns that 30% of the middle school students nationwide have been drunk. Concerned, a local health agency randomly and anonymously surveys 110 of the 1212 middle school students in its city. Only 21 of them report having been 2. drunk. a) What proportion of the sample reported having been drunk? b) Does this mean that this city's youth are not drinking as much as the national data would indicate? c) Create a 95% confidence interval for the proportion of the city's middle school students who have been drunk. d) Is there any reason to believe that the national level of 30% is not true of the middle school students in the city? e) To keep the margin of error at most 5%, how many middle school students do we need to survey? of a confidence interval. Among them are the sample

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
2. A national health organization warns that 30% of the middle school students nationwide
have been drunk. Concerned, a local health agency randomly and anonymously surveys
110 of the 1212 middle school students in its city. Only 21 of them report having been
drunk.
a) What proportion of the sample reported having been drunk?
b) Does this mean that this city's youth are not drinking as much as the national data
would indicate?
c) Create a 95% confidence interval for the proportion of the city's middle school
students who have been drunk.
d) Is there any reason to believe that the national level of 30% is not true of the middle
school students in the city?
e) To keep the margin of error at most 5%, how many middle school students do we need
to survey?
ofa confidence interval. Among them are the sample
Transcribed Image Text:2. A national health organization warns that 30% of the middle school students nationwide have been drunk. Concerned, a local health agency randomly and anonymously surveys 110 of the 1212 middle school students in its city. Only 21 of them report having been drunk. a) What proportion of the sample reported having been drunk? b) Does this mean that this city's youth are not drinking as much as the national data would indicate? c) Create a 95% confidence interval for the proportion of the city's middle school students who have been drunk. d) Is there any reason to believe that the national level of 30% is not true of the middle school students in the city? e) To keep the margin of error at most 5%, how many middle school students do we need to survey? ofa confidence interval. Among them are the sample
Expert Solution
Step 1

Given Data

Sample Size, n = 110

Number of successes, x = 21

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Similar questions
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