Attached are the first two parts of the assignment which are done but are needed to complete part 3. At the bottom of assignments 1&2 there is feedback I received from my professor. Assignment 3 template and data set is also attached.
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup Page 1 of 4 Assignment #3: Inferential Statistics Analysis and Writeup Identifying Information Student (Full Name): Kayla Johnson Class: Instructor: 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: Socioeconomic Variable 2: Expenditure Variable 3: 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: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions Page 1 of 5 STAT200 Introduction to Statistics Assignment #3: Inferential Statistics Analysis and Writeup Purpose: The purpose of this assignment is to develop and carry out an inferential statistics analysis plan and write up the findings. There are two main parts to this assignment: ● Part A: Inferential Statistics Data Plan and Analysis ● Part B: Write up of Results Part A: Prepare Data Plan, Analyze Data, and Complete Part A of the Assignment #3 Template ➢ Task 1: Select Variables. Review the variables you used for assignments #1 and #2. Select your qualitative socioeconomic variable as your grouping variable and the two expenditure variables from the variables used in these previous assignments. Fill in Table 1: Variables Selected for Analysis with name, description, and type of variable (i.e., qualitative or quantitative). ➢ Task 2: Select and Run a One Sample 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). Complete Table 2: Confidence Interval Information and Results, which follows the format outlined by Kozak and the course’s problem-solving approach, including: ○ Random variable stated in words ○ Confidence interval method, including rationale and assumptions ○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.). ○ Results obtained ○ Interpretation ➢ Task 3: Select Two Sample Hypothesis Test. Using the second expenditure variable (with the socioeconomic variable as the grouping variable), select and run the appropriate method for making decisions about two parameters relative to observed statistics (i.e., two sample STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions Page 2 of 5 hypothesis test method). Complete Table 3: Two Sample Hypothesis Test Analysis, which follows the format outlined by Kozak and the course’s problem-solving approach, including: ○ Hypotheses (null and alternative). ○ Two sample hypothesis testing method, including rationale and assumptions ○ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.). ○ Results obtained. ○ Interpretation (i.e., Reject the null hypothesis OR Fail to reject null hypothesis) Step 2: Write Up Results and Complete Part B of the Assignment #3 Template For this 1 to 2 page section, refer to the inferential statistics data plan and computations done for Part A of this assignment. Address the following area: ➢ Introduction. Based on the scenario you submitted for the second assignment, provide a brief description of scenario, including the variables that were used in this analysis. Include a completed “Table 1: Variables Selected for Analysis to show the variables you selected for analysis. ➢ 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. ➢ Results. In this section, you will report the results of your inferential statistics data analysis. For the Confidence Interval Analysis, write one paragraph that includes: o Statistical method used, including rationale and whether assumptions were met. o Statistical Interpretation. The statistical interpretation is that the confidence interval has a probability (1−α, where α is the complement of the confidence level) of containing the population parameter. o Real World Interpretation. Explain the results in everyday language. Recommend reviewing the text and information from the classroom for examples on how to report results in everyday language. STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions Page 3 of 5 For the Two Sample Hypothesis Test Analysis, write one paragraph that includes: o Hypotheses that were assessed. See below table for example format: Examples Format for Writing Null and Alternative Hypotheses, in Words Null Hypothesis: There is no significant difference in [insert variable name] between [insert group 1 name] and [insert group 2 name] households. Alternative Hypothesis: ➢ For two-tailed (≠): There is a significant difference in [insert variable name] between [insert group 1 name] and [insert group 2 name] households. ➢ For one-tailed (>): [Insert group 1 name] has statistically significantly higher [insert variable name] than [insert group 2 name]. ➢ For one-tailed (<): [insert="" group="" 1="" name]="" has="" statistically="" significantly="" lower="" [insert="" variable="" name]="" than="" [insert="" group="" 2="" name].="" o="" statistical="" method="" used,="" including="" rationale="" and="" whether="" assumptions="" were="" met.="" see="" below="" table="" for="" example="" format:="" example="" format="" for="" writing="" statistical="" method="" with="" rationale="" to="" determine="" whether="" the="" there="" was="" a="" difference="" in="" [insert="" household="" expenditure]="" between="" [insert="" names="" of="" two="" groups),="" a="" [insert="" name="" of="" hypothesis="" test="" used]="" was="" used.="" it="" was="" the="" appropriate="" statistical="" method,="" because="" [insert="" rationale].="" the="" assumptions="" were="" assessed="" [insert="" information="" about="" the="" assumptions="" assessed="" and="" whether="" they="" were="" met].="" o="" conclusion="" from="" the="" results.="" this="" is="" where="" you="" state="" whether="" to="" reject="" ho="" or="" fail="" to="" reject="" ho="" including="" the="" p-value="" that="" was="" obtained.="" the="" rule="" is:="" if="" the="" p-value="">< α, then reject ho. if the p-value ≥α, then fail to reject ho. stat200: assignment #3 - inferential statistics analysis and writeup - instructions page 4 of 5 o real world interpretation. explain, in everyday language, the results. if any of the assumptions were not met, describe how it might affect conclusions. address issues of type i and/or type ii error, where appropriate. recommend reviewing the text and information from the classroom for examples on how to report results in everyday language. ➢ discussion– write one paragraph that summarizes the results of your findings and how they may be helpful to the person described in the scenario, when making a household budget. assignment submission: name the file that contains your completed assignment #3 inferential statistics analysis - template using the following format: “assignment3-studentlastname.” submit it via the assignments area in the leo classroom in the “assignment #3: inferential statistics analysis and writeup” folder. grading rubric for assignment #3 part a: prepare data plan, analyze data, and complete part a of the template selection of variables and completion of table 10% selection and calculation of confidence interval analysis: ● selection of appropriate test and rationale ● assumptions ● method used and calculation ● conclusion ● statistical interpretation 20% selection and calculation of two sample hypothesis test: ● research question and hypotheses ● selection of appropriate test and rationale ● assumptions ● method used and calculation ● conclusion, including p-value ● statistical interpretation 20% part b: write up of results introduction and description of data set 5% stat200: assignment #3 - inferential statistics analysis and writeup - instructions page 5 of 5 confidence interval. summarized: ● statistical method used, including rationale and whether assumptions were met ● statistical interpretation ● real world interpretation. 15% two sample hypothesis test. summarized: ● hypotheses ● statistical method used, including rationale and whether assumptions were met. ● conclusion from the results. ● real world interpretation. 15% discussion 5% wrote clearly, concisely, and with few errors. easy to understand. 10% stat200 introduction to statistics assignment #1: descriptive statistics data analysis plan name: kayla johnson class: stat200 date: january 26, 2020 scenario: to decide the household budget one should look for, what is the total household income and what will be the total expenditure including spend on food, housing and transportation according to his/her socio-economic conditions such as marital status, age and family size. further, he/she can get the total household expenditure by adding the all the expenses and compare it with the total household income. if the total expenditure exceeds the total income, then they should manage their expenses accordingly so that they can survive. example: a 35 year old single parent with a high school diploma and one child should look for his/her income, and family size as socio-economic variables and then look for distribution of expenses on ‘annual expenditure’, ‘food’ and ‘housing’ and compare it with his/her total income. variables selected for the analysis: for the analysis you should select ‘income’ as one socio-economic variable and for two additional socio-economic variables we can select ‘marital status’ and ‘family size’. two expenditures for our analysis should be ‘annual expenditure’ and expenses on ‘food’. descriptions of variables selected for analysis: variable name variable type variable description coding se-marital status qualitative marital status of head of household not married/married se-income quantitative annual household income amount in us dollars se-family size quantitative total number of people in α,="" then="" reject="" ho.="" if="" the="" p-value="" ≥α,="" then="" fail="" to="" reject="" ho.="" stat200:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 4="" of="" 5="" o="" real="" world="" interpretation.="" explain,="" in="" everyday="" language,="" the="" results.="" if="" any="" of="" the="" assumptions="" were="" not="" met,="" describe="" how="" it="" might="" affect="" conclusions.="" address="" issues="" of="" type="" i="" and/or="" type="" ii="" error,="" where="" appropriate.="" recommend="" reviewing="" the="" text="" and="" information="" from="" the="" classroom="" for="" examples="" on="" how="" to="" report="" results="" in="" everyday="" language.="" ➢="" discussion–="" write="" one="" paragraph="" that="" summarizes="" the="" results="" of="" your="" findings="" and="" how="" they="" may="" be="" helpful="" to="" the="" person="" described="" in="" the="" scenario,="" when="" making="" a="" household="" budget.="" assignment="" submission:="" name="" the="" file="" that="" contains="" your="" completed="" assignment="" #3="" inferential="" statistics="" analysis="" -="" template="" using="" the="" following="" format:="" “assignment3-studentlastname.”="" submit="" it="" via="" the="" assignments="" area="" in="" the="" leo="" classroom="" in="" the="" “assignment="" #3:="" inferential="" statistics="" analysis="" and="" writeup”="" folder.="" grading="" rubric="" for="" assignment="" #3="" part="" a:="" prepare="" data="" plan,="" analyze="" data,="" and="" complete="" part="" a="" of="" the="" template="" selection="" of="" variables="" and="" completion="" of="" table="" 10%="" selection="" and="" calculation="" of="" confidence="" interval="" analysis:="" ●="" selection="" of="" appropriate="" test="" and="" rationale="" ●="" assumptions="" ●="" method="" used="" and="" calculation="" ●="" conclusion="" ●="" statistical="" interpretation="" 20%="" selection="" and="" calculation="" of="" two="" sample="" hypothesis="" test:="" ●="" research="" question="" and="" hypotheses="" ●="" selection="" of="" appropriate="" test="" and="" rationale="" ●="" assumptions="" ●="" method="" used="" and="" calculation="" ●="" conclusion,="" including="" p-value="" ●="" statistical="" interpretation="" 20%="" part="" b:="" write="" up="" of="" results="" introduction="" and="" description="" of="" data="" set="" 5%="" stat200:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 5="" of="" 5="" confidence="" interval.="" summarized:="" ●="" statistical="" method="" used,="" including="" rationale="" and="" whether="" assumptions="" were="" met="" ●="" statistical="" interpretation="" ●="" real="" world="" interpretation.="" 15%="" two="" sample="" hypothesis="" test.="" summarized:="" ●="" hypotheses="" ●="" statistical="" method="" used,="" including="" rationale="" and="" whether="" assumptions="" were="" met.="" ●="" conclusion="" from="" the="" results.="" ●="" real="" world="" interpretation.="" 15%="" discussion="" 5%="" wrote="" clearly,="" concisely,="" and="" with="" few="" errors.="" easy="" to="" understand.="" 10%="" stat200="" introduction="" to="" statistics="" assignment="" #1:="" descriptive="" statistics="" data="" analysis="" plan="" name:="" kayla="" johnson="" class:="" stat200="" date:="" january="" 26,="" 2020="" scenario:="" to="" decide="" the="" household="" budget="" one="" should="" look="" for,="" what="" is="" the="" total="" household="" income="" and="" what="" will="" be="" the="" total="" expenditure="" including="" spend="" on="" food,="" housing="" and="" transportation="" according="" to="" his/her="" socio-economic="" conditions="" such="" as="" marital="" status,="" age="" and="" family="" size.="" further,="" he/she="" can="" get="" the="" total="" household="" expenditure="" by="" adding="" the="" all="" the="" expenses="" and="" compare="" it="" with="" the="" total="" household="" income.="" if="" the="" total="" expenditure="" exceeds="" the="" total="" income,="" then="" they="" should="" manage="" their="" expenses="" accordingly="" so="" that="" they="" can="" survive.="" example:="" a="" 35="" year="" old="" single="" parent="" with="" a="" high="" school="" diploma="" and="" one="" child="" should="" look="" for="" his/her="" income,="" and="" family="" size="" as="" socio-economic="" variables="" and="" then="" look="" for="" distribution="" of="" expenses="" on="" ‘annual="" expenditure’,="" ‘food’="" and="" ‘housing’="" and="" compare="" it="" with="" his/her="" total="" income.="" variables="" selected="" for="" the="" analysis:="" for="" the="" analysis="" you="" should="" select="" ‘income’="" as="" one="" socio-economic="" variable="" and="" for="" two="" additional="" socio-economic="" variables="" we="" can="" select="" ‘marital="" status’="" and="" ‘family="" size’.="" two="" expenditures="" for="" our="" analysis="" should="" be="" ‘annual="" expenditure’="" and="" expenses="" on="" ‘food’.="" descriptions="" of="" variables="" selected="" for="" analysis:="" variable="" name="" variable="" type="" variable="" description="" coding="" se-marital="" status="" qualitative="" marital="" status="" of="" head="" of="" household="" not="" married/married="" se-income="" quantitative="" annual="" household="" income="" amount="" in="" us="" dollars="" se-family="" size="" quantitative="" total="" number="" of="" people="">