Substance abuse has always been a problem at colleges and universities. However, some are alarmed by the recent misuse of prescription medication and by the legalization of marijuana in some states....

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Answer To: Substance abuse has always been a problem at colleges and universities. However, some are alarmed by...

Robert answered on Dec 25 2021
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Substance Abuse amongst Students at Rocky University

Substance Abuse amongst
Students at Rocky
University
Statistical Research
Student Name:
University Name:
SUBSTANCE ABUSE AT ROCKY UNIVERSITY
2
Introduction
One of the persistent problems of various universities in US is the menace of substance
abuse. This has particularly become a wor
risome matter ever since marijuana has been
legalized in certain states. The businesses are rightly concerned about the impact of
substance if the recruits tend to develop the habit of substance abuse during their university
education (Mendenhall & Beaver, 2012) A report in this regard suggest that almost half of the
college going students in US have experienced some sought of substance abuse which is truly
alarming.
In the backdrop, there are concerns about substance abuse amongst students who are studying
at Rocky University. However, this concern has been present since years at Rocky as
professors fear that substance abuse problem is worse than the national average of 46% in
US. For resolution of the above issues, a study has been commissioned by the University’s
president to understand the extent of this problem amongst Rocky University students (Smith,
2014). The given report presents the findings of this study conducted on a sample of 90
students at Rocky University. Statistical tools and techniques have been deployed so as to
infer conclusion about the population of college students at Rocky University (Mendenhall &
Beaver, 2012).
Determination of proportions
Based on the given sample, the first step is to determine the proportion of students according
to gender those who indulge in various kinds of substance abuse. The relevant data from the
given set of data and information is highlighted below:
SUBSTANCE ABUSE AT ROCKY UNIVERSITY
3
Involved in
Binge
Drinking
Abused
Prescription Med.
or Marijuana
Used Illegal Drugs
Number of
females 43 9 15 15
Number of
males 47 9 12 7
Total 90 18 27 22
The proportion table for females, males and total students are as highlighted below:
Proportion Involved in Binge
Drinking
Abused Prescription
Med. or Marijuana
Used Illegal Drugs
Females
= 9/43
= 0.20
=15/43
= 0.34
=15/43
=0.34
Males
=9/47
=0.19
=12/47
=0.25
=7/47
= 0.14
Total Proportion =18/(43+47)
=0.2
=27/(43+47)
=0.3
=22/(43+47)
=0.24
1. The respective proportion table for the all students, male and females, who are involved
in some kind of substance abuse is computed from the given data set and illustrate below:
Proportion Number of students involved
in some kind of substance
abuse
Proportion of involving in some kind of
substance abuse
(Binge Drinking,
Abused Prescription Med. or Marijuana,
Used Illegal Drugs)
Total Students
44 =44 /90
=0.488
Females
24 =24/43
=0.55
Males 20 =20/47
=0.42
SUBSTANCE ABUSE AT ROCKY UNIVERSITY
4
Determination of Confidence Intervals of Mean
 90% confidence interval for mean proportion of all students
Sample size = 90
Sample population p = 0.488
z value for 90% confidence intervals = 1.645
Confidence interval for mean proportion = √



= √



=
=0.488
The lower limit for 90% confidence interval = 0.488 = 0.401
The upper limit for 90% confidence interval =
 90% confidence intervals for mean proportion of all females students
Sample size = 43
Sample population p = 0.55
z value for 90% confidence intervals = 1.645
Confidence...
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