Description
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 through 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 μ2through 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, then construct the 95% confidence interval for π6= 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 π7 = 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
MUST BE IN APA FORMAT!! 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 too. 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) | (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
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Explanation & Answer
here you go, could you check what is the percentage of it palgaiarize because I change the introduction, and can you know where the plagiarize came from, because if it is coming from the question that I put in the answer, I could not do anything about that
Introduction
We are hired to perform a survey on people living in New York city, the survey consists of the
attitudes of the random samples of people regarding how they like the city in New York. There
are 5 cities that being surveyed here, there is Manhattan, Brooklyn, queens, the Bronx and Staten
island. We also recorded the general information that we receive from the people that answer the
questioner.
We use a scale of 5 for calculating how they going to like the city. We use the scale of 6 which
to determine the level of education of our responder and it goes from not completing high school
into a doctoral degree. We use the scale of 2 to determine whether the responder is single or
married.
A. General Attitude toward Each Borough (Variables 1–5)
Manhattan
Like Very
Brooklyn Queens
The Bronx
Staten
Island
5
5
5
5
5
Like
4
4
4
4
4
Neutral
3
3
3
3
3
Dislike
2
2
2
2
2
1
1
1
1
1
Much
Dislike Very
Much
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
Below is the summary result of the data given.
Data result
Mean
Standard
deviation
Manhattan
2.670
Brooklyn
4.530
Queens
2.465
Bronx
2.335
Staten
island
4.094
Education
3.476
Marital
status
1.748
1.064
1.045
1.203
1.371
1.223
1.194
0.434
Body
1. Item A in the description of the data collection instrument lists variables 1 through 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.
1. Determine the point estimate, and then construct the 95% confidence interval for
μ1= the average attitude toward Manhattan.
2. Repeat part (a) for μ2through μ5, the average attitudes toward Brooklyn, Queens,
The Bronx and Staten Island, respectively.
𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
a. 𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
b. 𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
c. 𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
d. 𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
e. 𝐶𝐼 = 𝑀𝑒𝑎𝑛 ± 𝑡 ∗
𝑠
√𝑛
𝑠
√𝑛
𝑠
√𝑛
𝑠
√𝑛
𝑠
√𝑛
= 2.67 ± 1.96 ∗
= 4.53 ± 1.96 ∗
𝑠
√𝑛
1.064
√445
1.045
= 2.67 ± 0.099
= 4.53 ± 0.097
√445
1.203
= 2.465 ± 1.96 ∗
= 2.335 ± 1.96 ∗
= 4.094 ± 1.96 ∗
√445
1.371
√445
1.223
√445
= 2.465 ± 0.112
= 2.335 ± 0.127
= 4.094 ± 0.114
The result for the attitude is different for every city, but as we can see with the confidence interval of
95%, there is only a small amount of error that happens. So if we do the survey, 95% that the result will
lie between error in the calculation.
2. Given the breakdown of responses for variable 6 (highest level of education), determine
the point estimate, then construct the 95% confidence interval for π6= the population
proportion of doctoral degrees.
𝑃=
17
= 0.038202
445
𝑃(1−𝑃)
𝐶𝐼 = 𝑃 ± 𝑍 ∗ √
𝑁
0.038202(1−0.038202)
= 0.038202 ± 1.96 ∗ √
445
= 0.038202 ± 0.01781
The data means that with 95% confidence interval, the probability of the respondent has a
doctoral degree is 0.0038202 with the error of 0.01781. it means that in the next survey, we
confidence that 95% chance we should have the same probability of people with doctoral degree
inside that margin of error
3. Given the breakdown...
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