module 25 chi square test of independence 6 of 8 discussion 1 mod 25 group 1
Module 25 – Chi-Square Test of Independence (6 of 8 discussion 1) – Mod 25 Group 1
From 2020SP-MATH-160-6897
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Learn by Doing
In this activity we practice the Chi-square Test for Independence in its entirety using StatCrunch.
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Here are the directions and grading rubric for the Learn by Doing discussion board exercises.
A list of StatCrunch directions is provided at the bottom of this page.
Context – A Real Court Case
In the early 1970s, a young man challenged an Oklahoma state law that prohibited the sale of 3.2% beer to males under age 21 but allowed its sale to females in the same age group. The case (Craig v. Boren, 429 U.S. 190, 1976) was ultimately heard by the U.S. Supreme Court. The state of Oklahoma argued that the law improved traffic safety. One of the three main pieces of data presented to the court was the result of a “random roadside survey.†This survey gathered information on gender and whether or not the driver had been drinking alcohol in the previous 2 hours. A total of 619 drivers under 21 years of age were included in the survey.
Prompt
- A test of independence may be appropriate if we are examining the relationship between two categorical variables in one population. For this situation what is the population? What is the explanatory variable? What is the response variable?
- What are the hypotheses for the Test of Independence? State hypotheses with reference to the context of the scenario.
- The spreadsheet of the data looked like this:
Roadside survey data
Driver Gender Alcohol in last
two hours?Driver 1 M Yes Driver 2 F No Driver 3 F Yes .
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..
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..
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.Driver 619 M No We will not use the raw data. Instead we will use the summarized data shown in the table below.
Roadside survey summary
Drank alcohol in last 2 hours? Yes No Totals Male 77 404 481 Female 16 122 138 Totals 93 526 619 Use StatCrunch to find expected counts, the Chi-square test statistic and the P-value. (directions)
Copy and paste your StatCrunch table into your post. - How many males in the sample are expected to answer yes to question about alcohol consumption in the last two hours? Show how to calculate this expected count and explain what it means relative to the hypotheses.
- Explain how we know that this data meets the conditions for use of a chi-square distribution.
- State a conclusion at a 5% level of significance. Do you think that the data supports the Oklahoma law that forbids sale of 3.2% beer to males and permits it to females?
List of StatCrunch Directions
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- Create Your Stats-Class Folder in Canvas (You only need to do this once.)
- Purchase StatCrunch (You only need to do this once.)
- Open StatCrunch
- Download Excel Data File
- Upload Excel Data File to StatCrunch
- Download StatCrunch Output Window (no screenshots; please use these directions)
- Upload Files into Your Stat-Class Folder in Canvas
- Embed Pictures in a Discussion Post (no attachments; please use these directions)
- Chi-square Test for Independence (Summarized Data)
Grading
To view the grading rubric for this discussion board, click on menu icon (three vertical dots) and then select show rubric. Please note, if viewing the course via the Canvas mobile app the rubric does not appear on this page.
Tips for Success
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