STAT200 Introduction to Statistics Assignment #3: Inferential Statistics Analysis and Writeup
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 courseâ€™s problem-solving approach, including:
- Random variable stated in words
- 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 twoparameters 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 Kozak and the courseâ€™s problem-solving approach, including:
- Hypotheses (null and alternative).
â—‹ Confidence interval method, including rationale and assumptions
â—‹ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
â—‹ Results obtained â—‹ Interpretation
â—‹ Two sample hypothesis testing method, including rationale and assumptions â—‹ Method used for analyzing data (i.e., web applets, Excel, TI calculator, etc.).
â—‹ Results obtained.
â—‹ 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 â€œTable 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.
- Statistical method used, including rationale and whether assumptions were met.
- Statistical Interpretation. The statistical interpretation is that the confidence interval has a probability (1âˆ’Î±, where Î± is the complement of the confidence level) of containing the population parameter.
- 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.
- Hypotheses that were assessed. See below table for example format:
- Discussionâ€“ 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.
For the Confidence Interval Analysis, write one paragraph that includes:
For the Two Sample Hypothesis Test Analysis, write one paragraph that includes:
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.
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].