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Progress Check

Use this activity to assess whether you and your peers can:

  • Use summarized data to conduct a chi-square test of independence and interpret the conclusion in context.

Directions

Use the drop-down menu to learn about the three steps needed to complete this assignment.

Three steps to complete the assignment

Step 1: Review the Rubric

  • Before you submit your work, review the rubric at the bottom of this assignment.
  • Use the rubric as a checklist to determine whether you are ready to submit your work.

Step 2: First Draft

  • Commit a good-faith effort to address each item in the Prompt section below.
  • Please be sure to number your responses and include “white space” between problem numbers. This improves the readability and flow of your work. I cannot give feedback and grade jumbled work.
  • Use either of the following options to submit your work.
    OPTION 1: You can submit a text-entry assignment (i.e. typing your answers in Canvas). To learn how to submit a text-entry assignment, use these (opens in a new tab).
    OPTION 2: You can upload your paper-and-pencil work (or the digital equivalent). To learn how to upload your paper-and-pencil work, use these (opens in a new tab). WARNING – some file types may not be visible on my end. So to learn which files you can upload, be sure to use the directions link I provided for this option.
  • Not ready to submit a good-faith effort yet? Avoid frustration – use the link to the Questions, Answers, & Tips discussion board (at the bottom of this page) to post questions about this assignment (or visit the discussion board to answer your classmates’ questions). You can also contact me directly (see the homepage for my contact information).

Step 3: Optional Final Draft

  • After you submit your good-faith attempt to fully respond to the questions in the Prompt section below, advance to the ANSWER(S) page.
  • You can use the ANSWER(S) page to correct your work and resubmit this assignment any time before I begin grading the problems. However, to earn full credit, you are not required to submit a final draft for this assignment. But if you do submit a final draft, I will only grade it if you submitted a good-faith effort on your first draft.
  • Warning – I will only grade your most recent submission. So if you choose to submit a final draft, please do not leave anything out, and please do not direct me to read an earlier submission. To maximize your score, your most recent submission (at the time I begin grading) must be complete.

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

  1. 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?
  2. What are the hypotheses for the Test of Independence? State hypotheses with reference to the context of the scenario.
  3. 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
    .
    .
    .    		 .
    .
    .    		 .
    .
    .
    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. ()
    Copy and paste your StatCrunch table into the textbox.

  4. How many males in the sample are expected to answer yes to questions about alcohol consumption in the last two hours? Show how to calculate this expected count and explain what it means relative to the hypotheses.
  5. Explain how we know that this data meets the conditions for use of a chi-square distribution.
  6. State a conclusion at a 5% level of significance. Do you think that the data supports the Oklahoma law that forbids the sale of 3.2% beer to males and permits it to females?

List of StatCrunch Directions

Click here for StatCrunch Directions

Each link will open in a new window. To return to this assignment, either close the new tab or select the tab for this assignment.

  • (no screenshots; please use these directions)
  • (no attachments; please use these directions)

Optional Discussion Board

Use the Module 25 (opens in a new tab) to ask questions or provide feedback about the problems in any Module 25 activity – including this peer-reviewed assignment.

Review Feedback

  • Instructor feedback is only available after an assignment is graded.
  • Use these (opens in a new tab) to learn how to review feedback.

Click the “Next” or > button to continue.

Content by Cuyamaca College math faculty and licensed under the .

Rubric

Formative Assessments w/ StatCrunch

Formative Assessments w/ StatCrunch
Criteria Ratings Pts

This criterion is linked to a Learning OutcomeAnswering the Prompt

8 ptsFull CreditThe first submission demonstrates a good-faith effort to address each part of the Prompt. Either in the first draft or the optional final draft, all parts of the “Prompt” are addressed and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow.6.5 ptsMostly CorrectThe first submission demonstrates a good-faith effort to address most of the Prompt. In the optional final draft all parts of the “Prompt” are addressed, and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are mostly correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow.

3.5 ptsOne or more incorrectThe first submission demonstrates a good-faith effort to respond to a smaller portion of the Prompt. In the first draft or the optional final draft, one or more parts of the “Prompt” are not addressed or are incorrect. Or, answers do not demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. Or, answers are correct, but the writing/work is unclear, incorrect, or difficult to follow.0 ptsNo MarksThe first submission does not demonstrate a good-faith effort to address the Prompt.

8 pts

This criterion is linked to a Learning OutcomeStatCrunch

2 ptsFull CreditStatCrunch graphs and/or tables are correct and embedded with your work.1 ptsPartial CreditStatCrunch graphs and/or tables are incorrect or missing important information.

0 ptsNo CreditNo StatCrunch information is embedded with your post. Or all StatCrunch work is incorrect.

2 pts

Total Points: 10

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