INFERENTIAL STATISTICS DATA ANALYSIS PLAN AND COMPUTATION

Inferential Statistics Data Analysis Plan and Computation - Statistics
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Part A: Inferential Statistics Data Analysis Plan and Computation Introduction: Variables Selected:  Table 1: Variables Selected for Analysis    Variable   Name in the Data Set Variable   Type Description    Qualitative   or Quantitative   Variable 1: Socioeconomic Marital   status   Variable 2: Expenditure Total amount   of annual expenditures   Variable 3: Expenditure Total   amount of annual expenditure Data Set Description and Method Used for Analysis: Briefly describe the data set, using information provided with data set and write up in Assignment #2. Also describe what method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data. 1. Confidence Interval Analysis: For one expenditure variable, select and run the appropriate method for estimating a parameter, based on a statistic (i.e., confidence interval method) and complete the following table (Note: Format follows Kozak outline): Table 2: Confidence Interval Information and Results    Name of   Variable:   State   the Random Variable and Parameter in Words:   Confidence   interval method including confidence level and rationale for using it:   State   and check the assumptions for confidence interval:   Method   Used to Analyze Data:   Find the   sample statistic and the confidence interval:   Statistical   Interpretation:  2. Hypothesis Testing: Using the second expenditure variable (with socioeconomic variable as the grouping variable for making two groups), select and run the appropriate method for making decisions about two parameters relative to observed statistics (i.e., two sample hypothesis testing method) and complete the following table (Note: Format follows Kozak outline): Table 3: Two Sample Hypothesis Test Analysis    Research   Question:   Two   Sample Hypothesis Test that Will Be Used and Rationale for Using It:   State   the Random Variable and Parameters in Words:   State   Null and Alternative Hypotheses and Level of Significance:   Method   Used to Analyze Data:   Find the   sample statistic, test statistic, and p-value:   Conclusion   Regarding Whether or Not to Reject the Null Hypothesis: Part B: Results Write Up Confidence Interval Analysis: Two Sample Hypothesis Test Analysis: Discussion: STAT200 Introduction to Statistics Dataset for Written Assignments Description of Dataset: The data is a random sample from the US Department of Labor’s 2016 Consumer Expenditure Surveys (CE) and provides information about the composition of households and their annual expenditures ( https://www.bls.gov/cex/ ). It contains information from 31 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 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-AnnualExpenditures Sixth Column Total Amount of Annual Expenditures Amount in US Dollars USD-Food Seventh Column Total Amount of Annual Expenditure on Food Amount in US Dollars USD-Housing Eighth Column Total Amount of Annual Expenditure on Housing Amount in US Dollars USD-Transport Ninth Column Total Amount of Annual Expenditure on Transportation 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 for the first household in the sample: the head of household is not married and is 35 years old, has an annual household income is $97,469, has a family size of 4, annual expenditures of $54,929, and spends $6,900 on food, $18,514 on housing, and $145 on transportation. UniqueID# SE-MaritalStatus SE-Income SE-AgeHeadHousehold SE-FamilySize USD-AnnualExpenditures USD-Food USD-Housing USD-Transport 1 Not Married 97469 35 4 54929 6900 18514 145 2 Not Married 97912 49 1 55704 6937 18619 152 3 Not Married 96697 49 2 56453 6971 18520 136 4 Not Married 96653 51 4 56488 6943 18838 124 5 Not Married 96664 53 3 55558 7051 18502 168 6 Not Married 95744 52 4 55963 7040 18435 146 7 Not Married 94929 59 2 55247 6948 18483 133 8 Not Married 96928 43 3 55932 6953 18701 145 9 Not Married 97681 53 4 56124 7097 18676 134 10 Not Married 96244 56 4 56051 7073 18484 141 11 Not Married 96886 44 2 55321 6982 18312 153 12 Not Married 96727 39 2 56440 7051 18376 120 13 Not Married 96690 57 2 56097 6822 18334 135 14 Not Married 96572 59 2 56515 7179 18648 123 15 Not Married 98717 40 3 56393 7036 18389 114 16 Married 106292 57 4 82299 10983 23063 132 17 Married 95801 54 3 73798 9395 23155 151 18 Married 95385 50 4 74110 9101 22847 211 19 Married 95865 46 1 74789 9321 22621 168 20 Married 109312 37 6 80801 10564 25392 58 21 Married 114051 42 5 84486 10820 25728 167 22 Married 110651 58 4 83766 11226 22899 113 23 Married 107338 67 2 83651 11710 21893 47 24 Married 101829 45 4 82385 10821 22409 121 25 Married 102244 34 4 74687 8735 27964 60 26 Married 113558 31 5 79861 10346 25006 141 27 Married 100947 35 4 73973 8455 26783 36 28 Married 107369 66 2 83441 11724 23174 82 29 Married 106894 51 5 81585 11360 22396 162 30 Married 97769 47 5 73950 9035 22867 202 31 Married 98885 45 4 57795 9653 23400 152 Assignment #3: Inferential Statistics Analysis and Writeup Part A: Inferential Statistics Data Analysis Plan and Computation Introduction: Variables Selected: Table 1: Variables Selected for Analysis Variable Name in the Data Set Variable Type Description Qualitative or Quantitative Variable 1: Socioeconomic Marital status Variable 2: Expenditure Total amount of annual expenditures Variable 3: Expenditure Total amount of annual expenditure Data Set Description and Method Used for Analysis: Briefly describe the data set, using information provided with data set and write up in Assignment #2. Also describe what method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data. 1. Confidence Interval Analysis: For one expenditure variable, select and run the appropriate method for estimating a parameter, based on a statistic (i.e., confidence interval method) and complete the following table (Note: Format follows Kozak outline): Table 2: Confidence Interval Information and Results Name of Variable: State the Random Variable and Parameter in Words: Confidence interval method including confidence level and rationale for using it: State and check the assumptions for confidence interval: Method Used to Analyze Data: Find the sample statistic and the confidence interval: Statistical Interpretation: 2. Hypothesis Testing: Using the second expenditure variable (with socioeconomic variable as the grouping variable for making two groups), select and run the appropriate method for making decisions about two parameters relative to observed statistics (i.e., two sample hypothesis testing method) and complete the following table (Note: Format follows Kozak outline): Table 3: Two Sample Hypothesis Test Analysis Research Question: Two Sample Hypothesis Test that Will Be Used and Rationale for Using It: State the Random Variable and Parameters in Words: State Null and Alternative Hypotheses and Level of Significance: Method Used to Analyze Data: Find the sample statistic, test statistic, and p-value: Conclusion Regarding Whether or Not to Reject the Null Hypothesis: Part B: Results Write Up Confidence Interval Analysis: Two Sample Hypothesis Test Analysis: Discussion: STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup Page 1 of 4
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