Module 25 Homework 1

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

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. No description available.

  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

Optional Discussion Board

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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 pts

Full Credit

The 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 pts

Mostly Correct

The 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 pts

One or more incorrect

The 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 pts

No Marks

The first submission does not demonstrate a good-faith effort to address the Prompt.

8 pts

This criterion is linked to a Learning OutcomeStatCrunch
2 pts

Full Credit

StatCrunch graphs and/or tables are correct and embedded with your work.

 1 pts

Partial Credit

StatCrunch graphs and/or tables are incorrect or missing important information.

 0 pts

No Credit

No StatCrunch information is embedded with your post. Or all StatCrunch work is incorrect.

2 pts

Total Points: 10