The major shopping areas in the community of Springdale
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
The major shopping areas in the community of Springdale include Springdale Mall
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 conducte d 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 ask ed to provide information about themselves and their shopping habits.
The data are provide d in the file SHOPPING. The variables in the survey can be found in the file CODING.
Also, in this exercise, some of the estimation techniques presente d in the module will be
applie d 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 associate d 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 presente d 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 considere d 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.
Also, given the breakdown of responses for variable 26 (sex of respondent), determine the
point estimate, and construct the 95% confidence interval for p26= the population proportion of males.
More so, 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 mall.
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?
Include a title page, introduction, body, conclusion, and a reference page.