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
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
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Question

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
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Step 1
Given Data
Sample Size, n = 110
Number of successes, x = 21
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