Reconsider the exercise in Section 5.1 about school spirit (Exercise 5.1.3). Suppose that you find that 24% of a random sample of students at ESU wear clothing with the school name or logo, compared to 16% of a random sample of students at MSU. Our research question: Is the observed difference in percentage of students wearing school clothing at ESU versus MSU statistically signifi cant?
a. Which of the following is the appropriate null hypothesis? Choose one.
A. In general, a greater percentage of ESU students wear school clothing compared to MSU students.
B. In general, a smaller percentage of ESU students wear school clothing compared to MSU students.
C. In general, the percentage of ESU students who wear school clothing is the same as that of MSU students.
D. In general, the percentage of ESU students who wear school clothing is different from that of MSU students.

b. Which of the following is the appropriate alternative hypothesis? Choose one.
A. In general, a greater percentage of ESU students wear school clothing compared to MSU students.
B. In general, a smaller percentage of ESU students wear school clothing compared to MSU students.
C. In general, the percentage of ESU students who wear school clothing is the same as that of MSU students.
D. In general, the percentage of ESU students who wear school clothing is diff erent from that of MSU students.

c. In this context, calculate an appropriate statistic value to compare ESU students to MSU students with regard to wearing school clothing.
d. What additional information do you need in order to assess whether this difference calculated in part (c) is statistically significant?
e. Describe a scenario, involving the additional information you cited in part (d), in which you believe that this difference would be statistically significant.
f. Describe a scenario, involving the additional information you cited in part (d), in which you believe that this difference would not be statistically significant.