Dataset for Written AssignmentsDescription of DatasetThe .docx
- 1. Dataset for Written Assignments Description of Dataset: The data is a random sample that provides information about the composition of households and their annual expenditures. It contains information from 30 households, where a survey responder provided the requested information; it is all self- reported information. This dataset contains four socioeconomic variables (whose names start with SE) and four expenditure variables (whose names start with USD). Description of Variables/Data Dictionary: The following table is a data dictionary that describes the variables and their locations in this dataset (Note: Dataset is on second page of this document): Variable Name Location in Dataset Variable Description Coding UniqueID# First Column Unique number used to identify each survey responder Each responder has a unique number from 1-30 SE-MaritalStatus Second Column Marital Status of Head of Household Not Married/Married SE-Income Third Column Annual Household Income Amount in US Dollars SE-AgeHeadHousehold Fourth Column
- 2. Age of the Head of Household Age in Years SE-FamilySize Fifth Column Total Number of People in Family (Both Adults and Children) Number of People in Family USD-Annual Expenditures Sixth Column Total Amount of Annual Expenditures Amount in US Dollars USD-Housing Seventh Column Total Amount of Annual Expenditure on Housing Amount in US Dollars USD-Electricity Eighth Column Total Amount of Annual Expenditure on Electricity Amount in US Dollars USD-Water Ninth Column Total Amount of Annual Expenditure on Water Amount in US Dollars How to read the data set: Each row contains information from one household. For instance, the first row of the dataset starting on the next page shows us that: the head of household is not married and is 59 years old, has an annual household income of $94,929, a family size of 2, annual expenditures of $55,247, and spends $18,483 on housing, $1,451 on electricity, and $546 on water. UniqueID# SE-MaritalStatus SE-income SE-AgeHeadHousehold SE-FamilySize USD-AnnualExpenditures USD-Housing
- 3. USD-Electricity USD-Water 1 Not Married 94929 59 2 55247 18483 1451 546 2 Not Married 96621 54 2 55746 18149 1455 540 3 Not Married 96664 53 3 55558 18502 1478 553 4 Not Married 96522 43 4 56152 18483
- 4. 1457 537 5 Not Married 96697 49 2 56453 18520 1469 545 6 Not Married 96727 39 2 56440 18376 1441 542 7 Not Married 94867 60 1 55512 18633 1485 523 8 Not Married 96690 57 2 56097 18334
- 5. 1453 535 9 Not Married 97469 35 4 54929 18514 1451 565 10 Not Married 96886 44 2 55321 18312 1450 523 11 Not Married 95744 52 4 55963 18435 1465 555 12 Not Married 96572 59 2 56515 18648
- 6. 1480 552 13 Not Married 95366 48 2 57082 18576 1478 538 14 Not Married 97912 49 1 55704 18619 1450 553 15 Not Married 96928 43 3 55932 18701 1479 520 16 Married 114051 42 5 84486 25728
- 10. 1320 689 29 Married 100565 18 3 69203 27950 1358 626 30 Married 97977 44 2 73198 22990 1298 696 Assignment #3: Inferential Statistics Analysis and Writeup Editing note: Delete all instructions in your final submission.Make sure all tablesare complete on the same page – that they are NOT split across 2 pages! Identifying Information Student (Full Name): Class: Instructor: Date: Part A: Inferential Statistics Data Analysis Plan and Computation
- 11. INTRODUCTION Use all the 30 observations in the given data set for the analysis. Begin with a short paragraph describing your scenario, including the reason for this analysis. Provide a second paragraph briefly describing the data set that you are using for your analysis. Use complete sentences! Table 1: Variables Selected for Analysis Fill in the table with your qualitative socioeconomic variable and your 2 expenditure variables. Variable Name Variable Type Description Qualitative or Quantitative Socioeconomic Qualitative Expenditure Expenditure CONFIDENCE INTERVAL ANALYSIS For one expenditure variable, estimatethe population parameter
- 12. for the measure of center and complete the following table. Table 2: Confidence Interval Information and Results Name of Variable: State the Random Variable and Parameter in Words: Provide the confidence interval formula and confidence level: State and check the assumptions for confidence interval: Calculation of the sample statistic and the confidence interval: Statistical Interpretation: HYPOTHESIS TESTING Using your qualitative socioeconomic variable to group the otherexpenditure variable into two groups. Then conduct a two sample hypothesis testand complete the following table. Table 3: Two Sample Hypothesis Test Analysis Research Question: Two Sample Hypothesis Test that Will Be Used: State the Random Variable and Parameters in Words: State the Null and Alternative Hypotheses and the Level of Significance: Calculation of the sample statistic, test statistic, and p-value: Conclusion Regarding Whether or Not to Reject the Null
- 13. Hypothesis: Real-world interpretation Part B: Results Write Up Confidence Interval Analysis: Provide a brief paragraph describing the results of your confidence interval analysis. Include the statement of the question, the CI with the level of confidence, and the real-world interpretation of the CI. Two Sample Hypothesis Test Analysis: Provide a brief paragraph describing the results of your hypothesis test. Include the statement of the question, the p- value, and the real-world interpretation of the results. The word “hypothesis” should not appear in your interpretation of the results! STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup Page 1 of 4