OSM 433/696 Homework Assignment 2 | Complete Solution

OSM 433/696 Homework Assignment 2

Due date to be announced in class
READ THE FOLLOWING INSTRUCTIONS CAREFULLY!
This homework assignment is worth a total of 15 points. You must use SAS to complete all 4 questions.
Question 1 is worth 3 points, question 2 is worth 4 points, question 3 is worth 3 points, and question 4 is
worth 5 points. To receive any credit for this assignment, use the following guidelines:
• The assignment must be in a paper or vinyl folder, with your name and student ID number on the
cover.
• Use the following format:
Page 1: The complete SAS program for question 1, followed by the SAS output for question 1.
Page 2: Your complete hypothesis test for question 1 and your memo or summary of your analysis.
Page 3: The complete SAS program for question 2, followed by the SAS output for question 2.
Page 4: Your complete hypothesis test for question 2 and your memo or summary of your analysis.
Page 5: The complete SAS program for question 3, followed by the SAS output for question 3.
Page 6: Your complete hypothesis test for question 3 and your memo or summary of your analysis.
Page 7: The complete SAS program for question 4, followed by the SAS output for question 4.
Page 8: Your complete hypothesis test for question 4 and your memo or summary of your analysis.
Please note that your homework assignment must contain the 8 pages noted above, and in exactly the order
and format specified. It is your responsibility to format your assignment to meet these requirements.
• You must also e‐mail me your SAS programs, output, and answers on or before the assignment due
date ([email protected]). Failure to e‐mail me your SAS programs on time will result in a failing
score on the assignment.
• Since this is a graded assignment, I cannot provide you with any assistance. You should be able to
complete this assignment using your SAS textbook, class handouts and lecture notes.
1. The Federal Correction Agency is investigating whether an individual released from federal
prison makes a different adjustment to civilian life if he or she returns to their hometown or if
they go elsewhere to live. To put it another way, is there a relationship between adjustment to
civilian life and place of residence after release from prison?
The agency’s psychologists interviewed 200 randomly selected former prisoners. Using a
series of questions, the psychologists classified the adjustment of each individual according to
the following variables:
Variable 1: Adjustment to Civilian Life: Outstanding, Good, Fair, or Unsatisfactory.
Variable 2: Residence after Release from Prison: Hometown, Not Hometown.
The data from this study is summarized in the table below.
Adjustment to Civilian Life
Residence after
Release from Prison
Outstanding Good Fair Unsatisfactory
Hometown
27
35
33
25
Not Hometown
10
15
27
28
Use SAS and an appropriate statistical test to determine whether there is a relationship
between adjustment to civilian life and place of residence after release from prison. Use a
significance level of α = .05. Follow the 5-step procedure for hypothesis testing discussed in
class.
Step 1: State the null and alternative hypotheses.
Step 2: State the decision rule for rejecting the null hypothesis (using the critical value
approach).
Step 3: Conduct the appropriate statistical test and identify the obtained value of the test
statistic, as well as the p-value.
Step 4: Compare the critical-value to alpha, and state whether you “Reject” or “Fail to
Reject” the null hypothesis.
Step 5: Provide a “plain English” interpretation of your findings.
If your analysis finds statistically significant differences, identify what those differences are,
using the cell chi-square values, observed frequencies, and expected frequencies. Briefly
summarize your results and any recommendations in a business memo to me.
2. After conducting the original analysis, one of the Federal Correction Agency psychologists
wondered whether or not gender also influences a prisoner’s adjustment to civilian life. The
data from the original study was reclassified to take each prisoner’s gender into account. The
data is summarized in the table below.
Adjustment to Civilian Life
Residence
after Release
from Prison
Outstanding Good Fair Unsatisfactory
Male Female Male Female Male Female Male Female
Hometown
6
21
17
18
22
11
17
8
Not Hometown
9
1
10
5
19
8
13
15
Controlling for a prisoner’s gender, is there is a significant relationship between adjustment to
civilian life and place of residence after release from prison? Use SAS, a significance level of α
= .01, and the 5-step procedure for hypothesis testing discussed in class.
If your analysis finds statistically significant differences, identify what those differences are,
using the cell chi-square values, observed frequencies, and expected frequencies. Briefly
summarize your results and any recommendations in a business memo to me.
3. The director of advertising for the Cleveland Plain Dealer is studying the relationship between
the type of community in which a subscriber resides and the section of the newspaper he or
she reads first. For a sample of readers, she collected the following sample information:
National
News Sports Comics
City 170 124 90
Suburb 120 112 100
Rural 130 90 88
At the .05 significance level, can she conclude that there is a relationship between the type of
community where the person resides and the section of the paper read first? Use SAS and the
5-step procedure for hypothesis-testing discussed in class.
If your analysis finds statistically significant differences, identify what those differences are, use
the cell chi-square values, observed frequencies, and expected frequencies. Briefly summarize
your results and any recommendations in a business memo to me.
4. Can cola drinkers tell the difference between Regular Pepsi and Diet Pepsi? To answer this
question, a sample of 46 Pepsi drinkers was asked to identify whether the beverage they were
sampling was “Regular Pepsi” or “Diet Pepsi”. The resulting data was coded as follows:
0 1 = Made an incorrect choice when given regular Pepsi
(Was given regular Pepsi and identified it as diet Pepsi)
1 1 = Made a correct choice when given regular Pepsi
(Was given regular Pepsi and identified it as regular Pepsi)
0 2 = Made an incorrect choice when given diet Pepsi
(Was given diet Pepsi and identified it as regular Pepsi)
1 2 = Made a correct choice when given diet Pepsi
(Was given diet Pepsi and identified it as diet Pepsi)
Variable Name Variable Coding
Correct 0 = No (Incorrect choice) 1 = Yes (Correct choice)
Colatype 1 = Regular Pepsi 2 = Diet Pepsi
The data from the 46 taste-testers is provided below. Using a significance level of .05 does a
person’s ability to make the correct identification depend upon the type of Pepsi sampled (i.e.,
Regular or Diet)? Use SAS and the 5-step procedure for hypothesis testing discussed in class.
If your analysis finds statistically significant differences, identify what those differences are,
using the cell chi-square values, observed frequencies, and expected frequencies. Briefly
summarize your results and any recommendations in a business memo to me.