STAT 200 University of Maryland Inferential Statistics Analysis and Writeup Worksheet

User Generated

2020bybl

Mathematics

stat 200

University of Maryland University College

STAT

Description

Unformatted Attachment Preview

University of Maryland Global Campus Part 3: Inferential Statistics Analysis and Writeup Identifying Information Student (Full Name): Class: Instructor: Dr. John Foulkes Date: NOTE: Review the instructions. Remove all red-text instructions from this template prior to submission. Save the file as a word document or pdf with the title “Last Name – Part 3” (do not submit a rtf file). Section A: Inferential Statistics Data Analysis Plan and Computation 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 Married or NOT Married Qualitative Variable 2: Expenditure Variable 3: Expenditure STAT200: Part 3 - Inferential Statistics Analysis and Writeup Confidence Interval Analysis: For the expenditure variable you selected for this analysis, 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: COMMENTS • For “State and Check the assumptions”: Make sure to include the appropriate probability distribution to be used (e.g., Normal? T?) • For “Method Used”: Although you can use the manual approach by working the formulas, the easiest BY FAR is the TI84 calculator: in this case, you would use STAT > TESTS. STAT200: Part 3 - Inferential Statistics Analysis and Writeup 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: COMMENTS • • • • For “Research Question”: An example would be: Is there a difference in “education” expenditures between Not Married and Married people (2-tailed test)? Or, are “education” expenditures less for Not Married than for Married? (left-tailed test). Or maybe you want to set it up as a right-tailed test. Your choice on which question you want to answer. For “State Null and Alternative Hypotheses and Level of Significance”: For example, for 2tailed, it would look like: H0: μ1 = μ2; HA: μ1 ≠ μ2. Pick a level of significance (1%, 5%, or 10%, anyone is fine). For “Method Used”: Although you can use the manual approach by working the formulas, the easiest BY FAR is the TI84 calculator: in this case, you would use STAT > TESTS. For “Find the Sample Statistic, test statistic, and p-value”: If you are using the TI84 calculator, for your sample statistics, compute the mean and standard deviation each for your expenditure variable for the Not Married and for the Married groups, enter them into the calculator TEST you chose to use, make sure you select the correct “tail” (in the above case, this would be ≠ μ2; Pooled is always NO, and then hit calculate. Observe either the test statistic or the p-value and come to a conclusion on rejecting or not rejecting the null hypothesis. STAT200: Part 3 - Inferential Statistics Analysis and Writeup Section B: Results Write Up Introduction: Based on the scenario you submitted for Part 2, provide a brief description of the 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 Part 2. Also describe what method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data. Confidence Interval Analysis: Write one paragraph that includes statistical method used, including rationale and whether assumptions were met; statistical Interpretation (“we are (fill in confidence level) percent confident that the true population parameter is between the lower limit and the upper limit of the confidence interval”); and real world interpretation (use everyday language. Recommend reviewing the text and information from the classroom for examples on how to report results in everyday language. Two Sample Hypothesis Test Analysis: Write one paragraph that includes the hypotheses that were assessed (see the table in the Instructions); and the statistical method used, including rationale and whether assumptions were met (see the table in the Instructions). 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: Part 3 - Inferential Statistics Analysis and Writeup STAT200 Introduction to Statistics Part 3: Inferential Statistics Analysis and Writeup Purpose: The purpose of this part is to develop and carry out an inferential statistics analysis plan and write up the findings. There are two sections for this part (some with multiple tasks): • • Section A: Inferential Statistics Data Plan and Analysis Section B: Write up of Results Section A Prepare Data Plan, Analyze Data, and Complete Section A of the Part 3 Template Task 1: Select Variables. Review the variables you used for Parts 1 and 2. Select MARITAL STATUS (the only qualitative socioeconomic variable we have) 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 of your selected expenditure variables, select and run the appropriate method for estimating a parameter (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.) Interpretation of results obtained. Task 3: Select and Run a Two Sample Hypothesis Test. Using the second of your selected expenditure variables, with MARITAL STATUS as the socioeconomic variable as the grouping variable, select and run the appropriate method for making decisions about two parameters (i.e., two sample 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) NOTE: For this analysis, use all 31 data points for each variable (you may group the values by another variable, but you still must use all 31 data points). STAT 200: Part 3: Inferential Statistics Analysis and Writeup Section B: Write Up Results and Complete Section B of the Part 3 Template For this 1 to 2 page section, refer to the inferential statistics data plan and computations done for Section A of this Part. Address the following areas: • Introduction. Based on the scenario you submitted for Part 2, 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 Part 2. Also describe what method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data. • Results. Here 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 we are (fill in confidence level) percent confident that the true population parameter is between the lower limit and the upper limit of the confidence interval. 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 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 (
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.Howdy fam🙋‍♂️I've attached the final copy of your answer down below. Please check it out then get back to me in case you'll need any changes made, I'll be here to assist. Thanks a million!🙏

University of Maryland Global Campus
Part 3: Inferential Statistics Analysis and Writeup
Identifying Information
Student (Full Name):
Class:
Instructor: Dr. John Foulkes
Date:

Section A: Inferential Statistics Data Analysis Plan and Computation
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 Married or NOT Married

Qualitative

Variable 2: “Food
Expenditure”

Expenditure

Total Amount of Annual
Expenditure on Food in USD

Quantitative

Variable 3:
“Transportation
Expenditure”

Expenditure

Total Amount of Annual
Expenditure on Transportation
in USD

Quantitative

STAT200: Part 3 - Inferential Statistics Analysis and Writeup

Confidence Interval Analysis:
Table 2: Confidence Interval Information and Results
Name of Variable: “Food Expenditure”

State the Random Variable and Parameter in Words: Household income influences how much
would be spent on food annually. Nevertheless, across America, based on the economy’s health, the
income amounts constantly fluctuate at a specific time. Thus, through the income amounts that
households acquire, the family would consider the amount of money to be allocated towards annual
food expenditure.

Confidence interval method including confidence level and rationale for using it: In this case, the
“Sample mean’s” confidence interval was chosen because the variable in this context is quantitative.
Besides, a confidence interval of 95% would be utilized in these calculations.

State and check the assumptions for confidence interval:
➢ Here, a “single confidence interval” was conducted for the test.
➢ “The households’ annual expenditure on food is maybe not normally distributed.”
Method Used to Analyze Data: The method used in data analysis was through the TI84 calculator
Find t...


Anonymous
I was having a hard time with this subject, and this was a great help.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags