8.6.D.14 - Association Between Categorical Variables – Exit Ticket
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3 Questions
Use the following information to answer the questions below.
A random sample of 100 eighth-grade students is asked to record two variables, whether they have a television in their
bedroom and if they passed or failed their last math test. The results of the survey are summarized below.
- 55 students have a television in their bedroom.
- 35 students do not have a television in their bedroom and passed their last math test.
- 25 students have a television and failed their last math test.
- 35 students failed their last math test.
- 55 students have a television in their bedroom.
- 35 students do not have a television in their bedroom and passed their last math test.
- 25 students have a television and failed their last math test.
- 35 students failed their last math test.
10
1.
Complete the two-way table.
10
2.
Calculate the row relative frequencies and enter the values in the table above.
Round to the nearest thousandth.
10
3.
Is there evidence of association between the variables? If so, does this imply
there is a cause-and-effect relationship? Explain.
From EngageNY.org of the New York State Education Department. Grade 8 Mathematics Module 6, Topic D, Lesson 14. Internet. Available from https://www.engageny.org/resource/grade-8-mathemat...; accessed 14/Apr/2016.