A survey was conducted of 150 residents in Springdale, asking about their shopping habits and attitudes toward three local shopping areas: Springdale Mall, Downtown, and West Mall. The survey collected data on respondents' demographics and shopping behaviors. Point estimates and 95% confidence intervals were calculated for the average attitudes toward each shopping area based on interval scale questions. Confidence intervals were also determined for population proportions related to respondent sex and marital status. Sample sizes needed to estimate mean attitudes within 0.05 margins of error at 95% confidence were calculated.
3. Chapter #: ____________
Directions: Use this form to prepare key points from the text for
in-class discussion. Under the analysis sections, include your
own thoughts and interpretations, why the quote or key point is
important, connections to other parts of the text or your own
experiences, etc. Also, be sure to cite any and all essential
elements or geographic concepts that apply as you discuss them.
Finally, include a key geographic understanding—or
takeaway—that you gleaned from the chapter, explaining the
connection to the geography and why it resonated with you.
Page #:
Author Quote or Key Point:
Analysis:
Page #:
Author Quote or Key Point:
Analysis:
Page #:
Author Quote or Key Point:
4. Analysis:
Chapter Key Geographic Understanding:
Option 2: New York Survey Data
Instructions
A consulting firm was hired to perform a survey on people
living in New York City. The survey was completed monthly for
six months by 445 randomly-selected people in different
boroughs. There were a number of items on the survey, but six
basic biographical items will be studied for this exercise. The
data for the people surveyed in one of these monthly surveys
can be found in the Excel file SURVEY. The variables that were
used for the basic biographical data are found on the last page
of the exercise.
In this exercise, some of the estimation techniques presented in
the module will be applied to the New York survey results. You
may assume that these respondents represent a simple random
sample of all potential respondents within the community, and
5. that the population is large enough that application of the finite
population correction would not make an appreciable difference
in the results.
New York City governmental agency personnel like to have
point estimates regarding variables describing the biographical
information of the people living within the different boroughs.
It is very helpful for them to have some idea regarding the
likely accuracy of these estimates as well. Therein lies the
benefit of the techniques presented in this module and applied
here.
1. Item A in the description of the data collection instrument
lists variables 1–5, which represent the respondent’s general
attitude toward each of the five boroughs. Each of these
variables has numerically equal distances between the possible
responses, and for purposes of analysis they may be considered
to be of the interval scale of measurement.
A. Determine the point estimate, and then construct the 95%
confidence interval for = the average attitude toward Manhattan.
B. Repeat part (a) for μ2 through μ5, the average attitudes
toward Brooklyn, Queens, The Bronx and Staten Island,
respectively.
1. Given the breakdown of responses for variable 6
(highest level of education), determine the point estimate, and
then construct the 95% confidence interval for p6= the
population proportion of doctoral degrees.
2. Given the breakdown of responses for variable 7 (marital
status of respondent), determine the point estimate, and then
construct the 95% confidence interval for p7 = the population
proportion in the “single or other” category.
3. Assume the governmental agencies requested estimates of the
mean attitudes towards each borough with a margin of error of
0.05 for each borough. If the governmental agency personnel
want to have 95% confidence that the sample mean will fall
within this margin of error, how large should the sample sizes
be for each borough?
Paper Requirements
6. Write a report that uses the Written Assignment
Requirements under the heading Expectations for CSU-Global
Written Assignments found in the CSU-Global Guide to Writing
and APA (Links to an external site.)Links to an external site..
Items that should be included, at a minimum, are a title page, an
introduction, a body that answers the questions posed in the
problem, and a conclusion paragraph that addresses your
findings and what you have determined from the data and your
analysis. As with all written assignments, you should have in-
text citations and a reference page. Please include any tables of
calculations, calculated values, and graphs associated with this
problem in the body of your assignment response.
Note: You must submit your Excel file with your report. This
will aid in grading with partial credit if errors are found in the
report.
A. General Attitude toward Each Borough (Variables 1–5)
1.
Manhattan
2.
Brooklyn
3.
Queens
4.
The Bronx
5.
Staten Island
Like Very Much
(5)
(5)
(5)
(5)
(5)
Like
(4)
(4)
7. (4)
(4)
(4)
Neutral
(3)
(3)
(3)
(3)
(3)
Dislike
(2)
(2)
(2)
(2)
(2)
Dislike Very Much
(1)
(1)
(1)
(1)
(1)
B. Information about the Respondent (Variables 6–7)
1. What is your highest level of education?
(1) = Did not complete high school
(2) = High school degree/GED
(3) = Associate’s degree
(4) = Bachelor’s degree
(5) = Master’s degree
(6) = Doctoral degree
Marital Status: (1) = Married, (2) = Single or other
Option 1: Springdale Shopping Survey
Instructions
The major shopping areas in the community of Springdale
include Springdale Mall, West Mall, and the downtown area on
8. Main Street. A telephone survey has been conducted to identify
strengths and weaknesses of these areas and to find out how
they fit into the shopping activities of local residents. The 150
respondents were also asked to provide information about
themselves and their shopping habits. The data are provided in
the file SHOPPING. The variables in the survey can be found in
the file CODING.
In this exercise, some of the estimation techniques presented in
the module will be applied to the Springfield Shopping survey
results. You may assume that these respondents represent a
simple random sample of all potential respondents within the
community, and that the population is large enough that
application of the finite population correction would not make
an appreciable difference in the results.
Managers associated with shopping areas like these find it
useful to have point estimates regarding variables describing the
characteristics and behaviors of their customers. In addition, it
is helpful for them to have some idea as to the likely accuracy
of these estimates. Therein lies the benefit of the techniques
presented in this module and applied here.
1. Item C in the description of the data collection instrument
lists variables 7, 8, and 9, which represent the respondent’s
general attitude toward each of the three shopping areas. Each
of these variables has numerically equal distances between the
possible responses, and for purposes of analysis they may be
considered to be of the interval scale of measurement.
1. Determine the point estimate, and then construct the 95%
confidence interval for μ7 = the average attitude toward
Springdale Mall.
2. Repeat part (a) for μ8 and μ9, the average attitudes toward
Downtown and West Mall, respectively.
2. Given the breakdown of responses for variable 26 (sex of
respondent), determine the point estimate, and then construct
the 95% confidence interval for p26 = the population proportion
of males.
3. Given the breakdown of responses for variable 28 (marital
9. status of respondent), determine the point estimate, and then
construct the 95% confidence interval for p28 = the population
proportion in the “single or other” category.
4. Assume the managers have requested estimates of the mean
attitudes towards each mall with a margin of error of 0.05 for
each. If the managers want to have 95% confidence that the
sample mean will fall within this margin of error, how large
should the sample size be for each mall?
Paper Requirements
Write a report that uses the Written Assignment
Requirements under the heading Expectations for CSU-Global
Written Assignments found in theCSU-Global Guide to Writing
and APA (Links to an external site.)Links to an external site..
Items that should be included, at a minimum, are a title page, an
introduction, a body that answers the questions posed in the
problem, and a conclusion paragraph that addresses your
findings and what you have determined from the data and your
analysis. As with all written assignments, you should have in-
text citations and a reference page. Please include any tables of
calculations, calculated values, and graphs associated with this
problem in the body of your assignment response.
Note: You must submit your Excel file with your report. This
will aid in grading with partial credit if errors are found in the
report.
HINTS FOR MODULE 6 ASSIGNMENT-
FOR #1:
You need the point-estimate, which is the mean. You will also
need the standard deviation as you will be calculating
confidence intervals.
LOWER LIMIT: MEAN - z ( Standard Deviation/ sq rt (N))
UPPER LIMIT: MEAN + z ( Standard Deviation/ sq rt (N))
10. For “z” , you use the z-value that corresponds to the level of
confidence…. should be 1.96 for 95% confidence intervals and
1.645 for 90%.
FOR #2 and #3
You are still finding the same information from above, but
using a Population proportion.
POINT ESTIMATE (p): Number of Successes/Total Number
The point estimate is what gets plugged in for “p” in the
formula.
LOWER LIMT: p – z * sq rt [ (p(1-p))/n])
UPPER LIMIT: p + z * sq rt [ (p(1-p))/n])
For “z” , you use the z-value that corresponds to the level of
confidence…. should be 1.96 for 95% confidence intervals and
1.645 for 90%.
QUESTION 4: Sample size
This site should help you.
Watch the second video under:
Sample Size Point Estimate Statistics
This video shows two examples on estimating a desired sample
size based on predetermined margins of error.
https://www.sophia.org/tutorials/finding-sample-size-with-
predetermined-margin-of-e--2
The video walks you through the formula where as long as you
have the zscore of a 95% confidence interval which is 1.96, the
standard deviation, and the margin of error......you can use this
formula.
14. respondents were also asked to provide information about
themselves and their shopping habits. The data are provided in
the file SHOPPING. The variables in the survey were as
follows: Comment by Phil Karl: Kathy—there is no such file
in the folder and there is no hyperlink to this term here. Please
advise.
A. How Often Respondent Shops at Each Area (Variables 1–3)
1. Springdale Mall
2. Downtown
3. West Mall
6 or more times/wk.
(1)
(1)
(1)
4–5 times/wk.
(2)
(2)
(2)
2–3 times/wk.
(3)
(3)
(3)
1 time/wk.
(4)
(4)
(4)
2–4 times/mo.
(5)
(5)
15. (5)
0–1 times/mo.
(6)
(6)
(6)
B. How Much the Respondent Spends during a Trip to Each
Area (Variables 4–6)
4. Springdale Mall
5. Downtown
6. West Mall
$200 or more
(1)
(1)
(1)
$150–under $200
(2)
(2)
(2)
$100–under $150
(3)
(3)
(3)
$ 50–under $100
(4)
(4)
(4)
$ 25–under $50
(5)
(5)
16. (5)
$ 15–under $25
(6)
(6)
(6)
less than $15
(7)
(7)
(7)
C. General Attitude toward Each Shopping Area (Variables 7–
9)
7. Springdale Mall
8. Downtown
9. West Mall
Like very much
(5)
(5)
(5)
Like
(4)
(4)
(4)
Neutral
(3)
(3)
(3)
Dislike
(2)
(2)
17. (2)
Dislike very much
(1)
(1)
(1)
D. Which Shopping Area Best Fits Each Description (Variables
10–17)
Springdale
Mall
Downtown
West
Mall
No
Opinion
10. Easy to return/exchange goods
(1)
(2)
(3)
(4)
11. High quality of goods
(1)
(2)
(3)
(4)
12. Low prices
(1)
(2)
18. (3)
(4)
13. Good variety of sizes/styles
(1)
(2)
(3)
(4)
14. Sales staff helpful/friendly
(1)
(2)
(3)
(4)
15. Convenient shopping hours
(1)
(2)
(3)
(4)
16. Clean stores and surroundings
(1)
(2)
(3)
(4)
17. A lot of bargain sales
(1)
(2)
(3)
(4)
E. Importance of Each Item in Respondent’s Choice of a
Shopping Area (Variables 18–25)
Not Very
Important
Important
19. F. Information about the Respondent (Variables 26–30)
26. Gender: (1) = Male (2) = Female
18. Easy to return/exchange goods
(1)
(2)
(3)
(4)
(5)
(6)
(7)
19. High quality of goods
(1)
(2)
(3)
(4)
(5)
(6)
(7)
21. (4)
(5)
(6)
(7)
25. A lot of bargain sales
(1)
(2)
(3)
(4)
(5)
(6)
(7)
t
27. Number of years of school completed:
(1) = less than 8 years (3) = 12–under 16 years
(2) = 8–under 12 years (4) = 16 years or more
28. Marital status: (1) = Married (2) = Single or other
29. Number of people in household: persons
30. Age: years
Each respondent in this database is described by 30 variables.
As an example of their interpretation, consider row number 1.
This corresponds to respondent number 1 and contains the
following information.
Variable number 6 = 7. The respondent usually spends less than
$15 when she
shops at West Mall.
Variable number 26 = 2. The respondent is a female.
22. 5 5 5 6 7 7 4 4 4 1 1 3 1 1 1 1 1 6 7 7 6 5 6 6 7 2 3 2 4 2 1
Variable number 1 = 5.
The respondent shops at Spring- dale Mall 2–4 times/month.
Variable number 19 = 7. Respondent believes “high quality of
goods” is very important in choosing a shopping area.
*Source: Materials for this case have been provided courtesy of
The Archimedes Group, Indiana, PA. Data are based on actual
responses obtained to this subset of the questions included in
the survey; town and mall identities have been disguised as well
as a number of responses were updated.