ST3004: Hypothesis Testing

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ST3004: Hypothesis Testing


Over the course of this Area of Expertise, you have been introduced to the z test, t test, chi square test, and analysis of variance. This Competency Assessment asks you to demonstrate your understanding of each of these tests and when each is most appropriate.

In this Competency Assessment, you will consider five different scenarios and data sets, determine the type of test that is most appropriate (t test, chi square equal frequencies, chi square unequal frequencies, chi square test of independence, or ANOVA), and perform the test including any and all steps in the process. Based on these computations, you will finally write a conclusion statement for each scenario.

Professional Skills: Written CommunicationTechnology, and Quantitative Fluency  are assessed in this Competency.

Your response to this Assessment should:

  • Use the Assessment documents as required.
  • Reflect the criteria provided in the Rubric.
  • Adhere to the required assignment length.

This Assessment requires submission of one file, a completed Competency Assessment Template document, including the types of tests used, the null and alternative hypotheses, the solution, and conclusions for each scenario. Save your files as follows: ST3004_firstinitial_lastname (for example, ST3004_J_Smith).

You may submit a draft of your assignment to the Turnitin Draft Check area to check for authenticity. When you are ready to upload your completed Assessment, use the Assessment tab on the top navigation menu.


Before submitting your Assessment, carefully review the rubric. This is the same rubric the assessor will use to evaluate your submission and it provides detailed criteria describing how to achieve or master the Competency. Many students find that understanding the requirements of the Assessment and the rubric criteria help them direct their focus and use their time most productively.

Statistical Testing

To complete this Competency Assessment, access the Competency Assessment Template document.

The following table that summarizes the different hypothesis test distributions and when each is used. This table can be can be helpful as you complete your Competency Assessment.

Which Statistical Test Do I Use?
Test Requirement
Z Test Normal distribution
Population mean known
Population standard deviation known
Sample size is greater than 30 if not normal
Quantitative variables
t Test Normal distribution
Population mean known
Population standard deviation unknown
Sample size is a) nearly normal with sample less than 15; b) at least 15 with no outliers; c) greater than 30 even if skewed or not normal
Quantitative variables
Chi Square Variables are qualitative
Testing if observed results agree with claimed (Goodness of Fit Unequal Frequencies)
Testing if outcomes occur with the same frequency (Goodness of Fit Equal Frequencies)
Testing if outcomes are independent of treatment (Goodness of Fit Test of Independence)
Used to test the relationship between variables
Data in two-way table of counts of outcomes
ANOVA Compares whether several populations have the same mean