STAT 200 Concordia University Inferential Statistics Analysis and Writeup

STAT200 Introduction to StatisticsAssignment #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:
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Part A: Inferential Statistics Data Plan and Analysis
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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:
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Random variable stated in words
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Confidence interval method, including rationale and assumptions
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Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
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Results obtained
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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
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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
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Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
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Results obtained.
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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
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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 (