Assignment #3: inferential statistics analysis and writeup

Class: STAT200

Instructor: Prof.

Date:

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: Marital Status

Socioeconomic

 

Variable 2: Food

Expenditure

 

Variable 3: Fruit

Expenditure

Data Analysis:

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 Labors 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 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 Unique number used to identify each survey responder Marital Status of Head of Household Total Annual Household Income Coding Each responder has a unique number from 1-30 UniqueID# First Column Not Married/Married Amount in US Dollars SE-MaritalStatus SE-Income SE-AgeHeadHousehold SE-FamilySize Second Column Third Column Fourth Column Fifth Column e of the Head of Household Total Number of People in Family (Both Adults Number of People in Family and Children Total Amount of Annual Expenditures on Food Total Amount of Annual Expenditure on Meat Total Amount of Annual Expenditure on Bake Total Amount of Annual Expenditure on Fruit e in Years USD-Food USD-Meat USD-Bake USD-Fruits Sixth Column Seventh Column Eighth Column Ninth Column Amount in US Dollars Amount in US Dollars Amount in US Dollars 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 39 years old, has an annual household income of $96,727, a family size of 2, annual food expenditures of $7,051, and spends $904 on meat, $345 on bakery items, and $759 on fruit.







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