Assignment #3: Inferential Statistics Analysis andWriteup
Part A: Inferential Statistics Data Analysis Plan andComputation
Introduction: I chose to imagine I am a 36 yearold married individual with a large family. (UniqueID#30)
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 | Marital Status of Head of Household | Qualitative |
Variable 2: Housing | Expenditure | Total Amount of Annual Expenditure on Housing | Quantitative |
Variable 3: Transport | Expenditure | Total Amount of Annual Expenditure on Transportation | Quantitative |
Data Analysis:
1. Confidence Interval Analysis: For oneexpenditure variable, select and run the appropriate method forestimating a parameter, based on a statistic (i.e., confidenceinterval method) and complete the following table (Note: Formatfollows Kozak outline):
Table 2: Confidence Interval Information andResults
Name of Variable: |
State the Random Variable and Parameter inWords: |
Confidence interval method including confidence leveland rationale for using it: |
State and check the assumptions for confidenceinterval: |
Method Used to Analyze Data: |
Find the sample statistic and the confidenceinterval: |
Statistical Interpretation: |
2. Hypothesis Testing: Using the secondexpenditure variable (with socioeconomic variable as the groupingvariable for making two groups), select and run the appropriatemethod for making decisions about two parameters relative toobserved statistics (i.e., two sample hypothesis testing method)and complete the following table (Note: Format follows Kozakoutline):
Table 3: Two Sample Hypothesis TestAnalysis
Research Question: |
Two Sample Hypothesis Test that Will Be Used andRationale for Using It: |
State the Random Variable and Parameters inWords: |
State Null and Alternative Hypotheses and Level ofSignificance: |
Method Used to Analyze Data: |
Find the sample statistic, test statistic, andp-value: |
Conclusion Regarding Whether or Not to Reject the NullHypothesis: |
Part B: Results Write Up
Confidence Interval Analysis:
Two Sample Hypothesis Test Analysis:
Discussion:
Data Set:
UniqueID# | SE-MaritalStatus | SE-Income | SE-AgeHeadHousehold | SE-FamilySize | USD-AnnualExpenditures | USD-Food | USD-Housing | USD-Transport |
1 | Not Married | 95432 | 51 | 1 | 55120 | 7089 | 18391 | 115 |
2 | Not Married | 97469 | 35 | 4 | 54929 | 6900 | 18514 | 145 |
3 | Not Married | 96664 | 53 | 3 | 55558 | 7051 | 18502 | 168 |
4 | Not Married | 96653 | 51 | 4 | 56488 | 6943 | 18838 | 124 |
5 | Not Married | 94867 | 60 | 1 | 55512 | 6935 | 18633 | 131 |
6 | Not Married | 97912 | 49 | 1 | 55704 | 6937 | 18619 | 152 |
7 | Not Married | 96886 | 44 | 2 | 55321 | 6982 | 18312 | 153 |
8 | Not Married | 96244 | 56 | 4 | 56051 | 7073 | 18484 | 141 |
9 | Not Married | 95366 | 48 | 2 | 57082 | 7130 | 18576 | 149 |
10 | Not Married | 96727 | 39 | 2 | 56440 | 7051 | 18376 | 120 |
11 | Not Married | 96697 | 49 | 2 | 56453 | 6971 | 18520 | 136 |
12 | Not Married | 95744 | 52 | 4 | 55963 | 7040 | 18435 | 146 |
13 | Not Married | 96572 | 59 | 2 | 56515 | 7179 | 18648 | 123 |
14 | Not Married | 98717 | 40 | 3 | 56393 | 7036 | 18389 | 114 |
15 | Not Married | 94929 | 59 | 2 | 55247 | 6948 | 18483 | 133 |
16 | Married | 95778 | 42 | 4 | 73323 | 9067 | 22880 | 201 |
17 | Married | 109377 | 48 | 4 | 83530 | 10575 | 23407 | 99 |
18 | Married | 95706 | 52 | 4 | 71597 | 8925 | 22376 | 181 |
19 | Married | 95865 | 46 | 1 | 74789 | 9321 | 22621 | 168 |
20 | Married | 109211 | 42 | 4 | 82503 | 11566 | 22219 | 62 |
21 | Married | 95994 | 55 | 4 | 73404 | 9231 | 22852 | 177 |
22 | Married | 114932 | 44 | 5 | 81186 | 11077 | 26411 | 153 |
23 | Married | 112559 | 39 | 3 | 80934 | 11189 | 25531 | 73 |
24 | Married | 95807 | 56 | 4 | 72949 | 9210 | 23139 | 186 |
25 | Married | 99610 | 36 | 2 | 73550 | 9513 | 27164 | 33 |
26 | Married | 95835 | 54 | 3 | 73092 | 9111 | 23252 | 186 |
27 | Married | 102081 | 42 | 4 | 82331 | 11738 | 23374 | 121 |
28 | Married | 104671 | 41 | 4 | 82786 | 10420 | 22245 | 84 |
29 | Married | 107028 | 46 | 4 | 82816 | 10840 | 25671 | 109 |
30 | Married | 114505 | 36 | 5 | 78325 | 11375 | 26006 | 140 |