**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 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.

- 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.
- Determine the point estimate, and then construct the 95% confidence interval for μ7= the average attitude toward Springdale Mall.
- Repeat part (a) for μ8 and μ9, the average attitudes toward Downtown and West Mall respectively.

- 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.
- Given the breakdown of responses for variable 28 (marital 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.
- 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 the CSU-Global Guide to Writing and APA. 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.

**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 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.

- 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.
- Determine the point estimate, and then construct the 95% confidence interval for μ1= the average attitude toward Manhattan.
- Repeat part (a) for μ2 through μ5, the average attitudes toward Brooklyn, Queens, The Bronx and Staten Island, respectively.

- 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.
- 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.
- 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**

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. 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.

Manhattan2.

Brooklyn3.

Queens4.

The Bronx5.

Staten IslandLike Very Much(5)(5)(5)(5)(5)Like(4)(4)(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)**

- 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