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
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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:
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•
•
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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:
•
•
•
•
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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 (
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