Divide into groups of four or five students. Each group member should survey at least 15 male students and 15 female students at the same college by asking two questions: (1) Which political party does the subject favor most? (2) If the subject were to make up an absence excuse of a flat tire, which tire would he or she say went flat if the instructor asked? (See Exercise 6 in Section 11-1.) Ask the subject to write the two responses on an index card, and also record the gender of the subject and whether the subject wrote with the right or left hand. Use the methods of this chapter to analyze the data collected. Include these claims:

• The four possible choices for a flat tire are selected with equal frequency.
• The tire identified as being flat is independent of the gender of the subject.
• Political party choice is independent of the gender of the subject.
• Political party choice is independent of whether the subject is right- or left-handed.
• The tire identified as being flat is independent of whether the subject is right- or left-handed.
• Gender is independent of whether the subject is right- or left-handed.
• Political party choice is independent of the tire identified as being flat.

Data From Exercise 6 Section 11-1:

A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn’t have a flat tire, would they be able to identify the same tire? The author asked 41 other students to identify the tire they would select. The results are listed in the following table (except for one student who selected the spare). Use a 0.05 significance level to test the author’s claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn’t have a flat?