Simple Linear Regression – Substance Abuse at Rocky University

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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. Many businesses are concerned that substance abuse will impact
them if graduates (future employees) have developed a pattern of
substance abuse while still in college. An article reported that 46% of
U.S. college students have been involved in some type of substance
abuse.

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Substance abuse has been a concern of the president of Rocky
University for several years. Some faculty members in the university
believe that substance abuse is more widespread at Rocky than at other
universities, while other faculty members think that substance abuse is
not a major problem in the college. To resolve some of these issues, the
president of the university commissioned a study to assess the current
substance abuse behavior of students at Rocky. As part of this study, an
anonymous exit survey was administered to a sample of 90 students from
this year’s graduating class. Responses to the following questions were
used to obtain data regarding three types of substance abuse.

  1. During your time at Rocky, did you ever participate in binge drinking?

    ____ Yes
    ____ No

  1. During your time at Rocky, did you ever abuse prescription medication?

    ____ Yes
    ____ No

  1. During your time at Rocky, did you ever use any type of illegal or illicit drug (not included in questions 1 or 2)?

    ____ Yes
    ____ No

Any student who answered yes to one or more of these questions
was considered to have been involved in some type of substance abuse.
The complete data set is in the file named Abuse, linked at the bottom of the page.

Managerial Report
Prepare a report (see below)
for the president of the university that summarizes your assessment of
the nature of substance abuse by students at Rocky University. Be sure
to include the following seven (7) items in your report.

  1. To summarize the data, compute the proportion of all students,
    the proportion of all male students, and the proportion of all female
    students who

    1. Participated in binge drinking.
    2. Abused prescription medication.
    3. Used illegal or illicit drugs.
      Then comment on your findings.
  2. Develop 90% confidence intervals for the proportion of all students,
    the proportion of all male students, and the proportion of all female
    students who were involved in some type of substance abuse.
  3. Develop 90% confidence intervals for the proportion of all students,
    the proportion of all male students, and the proportion of all female
    students who participated in binge drinking.
  4. Develop 90% confidence intervals for the proportion of all students,
    the proportion of all male students, and the proportion of all female
    students who abused prescription medication.
  5. Develop 90% confidence intervals for the proportion of all students,
    the proportion of all male students, and the proportion of all female
    students who used illegal or illicit drugs.
  6. Conduct a hypothesis test (using either the p-value approach or the
    critical value approach) to determine if the proportion of all students
    at Rocky University who were not involved in some type of substance
    abuse is less than that of all U.S. students elsewhere. Use α = 0.10.
    Do not forget to include the correctly worded hypotheses.
  7. What advice would you give to the president of the university based
    upon your analysis of the data? What is the magnitude of the issue? What
    would you recommend for both students and faculty? What is the
    potential impact on relationships with the business community and what
    would you recommend? How can this study be improved?

Write a report that adheres to the Written Assignment
Requirements

Be sure that your report contains the following:

  • A title page in APA style.
  • An introduction that summarizes the problem.
  • The body of the paper should answer the questions posed in the
    problem by communicating the results of your analysis. Include results
    of calculations, as well as charts and graphs, where appropriate.
  • A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis.
  • In-text citations from a minimum of three sources in addition to
    your textbook.
  • A reference page.

Be sure to submit your Excel file as well.
NOTE: Submitting your Excel file will aid in grading with partial credit if errors are found in the paper.

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