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

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: SE-MaritalStatus	Socioeconomic	Marital Status for head of household.	Qualitative
Variable 2: SE-Income	Expenditure	Annual household income in USD.	Quantitative
Variable 3: USD-Housing	Expenditure	Annual Housing Cost in USD.	Quantitative

Data Set Description and Method Used for Analysis:

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).

In order to analyze the data, I used a combination of the e-book from STAT 200, a TI-84 application on my laptop, and Microsoft Excel.

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: