New York Survey Data

Statistics Project Instructions:

A consulting firm was hired to conduct 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 Download 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 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? Requirements: NOTE: You MUST submit your Excel file with your report. This will allow you to qualify for consideration for partial credit if any errors are found in your report. 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) 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

Statistics Project Sample Content Preview:

Estimation Analysis of New York City Survey Results Your Name Subject and Section Professor’s Name October 26, 2024 This report offers survey results for residents of New York City to estimate the biographical factors and attitudes toward the city's five boroughs. The current research surveyed 445 randomly chosen residents who completed the questionnaire for six consecutive months. This report's data centers on one of these monthly surveys in which respondents' perceptions of the five boroughs and two demographic variables, education and marital status, were assessed. The results are meant to give government personnel reasonable estimates and an understanding of the degree of accuracy of such estimates so that reasonable decisions may be made. Estimation procedures were used on the survey data, and the sample used was considered a simple random sample of the population in the larger NYC area. I have not included the finite population correction since the population is large enough, though it is a finite sample. The analysis aimed to estimate point estimates, compute 95 % confidence intervals for means and proportions and calculate the sample sizes needed for a desirable margin of error. Attitudes Toward Each Borough To measure attitudes toward each of the five boroughs, respondents were asked a question embraced by first selecting a scale of 1 ('Dislike Very Much') to 5 ('Like Very Much'). Mean attitudes, standard deviations, 95% confidence intervals, and required sample sizes have also been computed for each borough. Consequently, these outcomes outlined that the mean attitude toward Brooklyn is the highest and equal instead of 4.66, which means that most respondents have a relatively positive attitude toward this area. Meanwhile, the result for The Bronx was the lowest mean score, 2.44, which implies respondents have less favorable attitudes. The standard deviations varied, suggesting the respondents' agreement level was also diverse, as seen by the differences in the figure below (Andrade, 2020). The degree of precision or lack thereof is reflected by the 95% confidence intervals, which for each borough ranged between ±0.0...

Updated on January 16, 2025

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