See Attached
STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions Page 1 of 4 STAT200 Introduction to Statistics Assignment #3: Inferential Statistics Analysis and Writeup 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 Step 1: 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 hypothesis test method). Complete Table 3: Two Sample Hypothesis Test Analysis, which follows the format outlined by 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) NOTE: For this analysis, use all 30 data points for each variable (you may group the values by another variable, but you still must use all 30 data points). STAT200: Assignment #3 - Inferential Statistics Analysis and Writeup - Instructions Page 2 of 4 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 areas: ➢ 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. For the Two Sample Hypothesis Test Analysis, write one paragraph that includes: o Hypotheses that were assessed. See table below for example format: Example 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]="" stat200:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 3="" of="" 4="" o="" statistical="" method="" used,="" including="" rationale="" and="" whether="" assumptions="" were="" met.="" see="" table="" below="" 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. 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. stat200: assignment #3 - inferential statistics analysis and writeup - instructions page 4 of 4 assignment submission: save the file that contains your completed assignment #3 inferential statistics analysis - template as a pdf or docx using the following format: “lastname, first name – assignment3.” submit it via the assignments area in the leo classroom in the “assignment #3: inferential statistics analysis and writeup” folder. 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% 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: assignment #3 - inferential statistics analysis and writeup - instructions page 1 of 4 stat200 introduction to statistics assignment #3: inferential statistics analysis and writeup 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 step 1: 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 hypothesis test method). complete table 3: two sample hypothesis test analysis, which follows the format outlined by 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) note: for this analysis, use all 30 data points for each variable (you may group the values by another variable, but you still must use all 30 data points). stat200: assignment #3 - inferential statistics analysis and writeup - instructions page 2 of 4 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 areas: α,="" then="" reject="" ho.="" if="" the="" p-value="" ≥="" α,="" then="" fail="" to="" reject="" ho.="" 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.="" stat200:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 4="" of="" 4="" assignment="" submission:="" save="" the="" file="" that="" contains="" your="" completed="" assignment="" #3="" inferential="" statistics="" analysis="" -="" template="" as="" a="" pdf="" or="" docx="" using="" the="" following="" format:="" “lastname,="" first="" name="" –="" assignment3.”="" submit="" it="" via="" the="" assignments="" area="" in="" the="" leo="" classroom="" in="" the="" “assignment="" #3:="" inferential="" statistics="" analysis="" and="" writeup”="" folder.="" 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%="" 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:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 1="" of="" 4="" stat200="" introduction="" to="" statistics="" assignment="" #3:="" inferential="" statistics="" analysis="" and="" writeup="" 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="" step="" 1:="" 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="" hypothesis="" test="" method).="" complete="" table="" 3:="" two="" sample="" hypothesis="" test="" analysis,="" which="" follows="" the="" format="" outlined="" by="" 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)="" note:="" for="" this="" analysis,="" use="" all="" 30="" data="" points="" for="" each="" variable="" (you="" may="" group="" the="" values="" by="" another="" variable,="" but="" you="" still="" must="" use="" all="" 30="" data="" points).="" stat200:="" assignment="" #3="" -="" inferential="" statistics="" analysis="" and="" writeup="" -="" instructions="" page="" 2="" of="" 4="" 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="">