The Chi-Square Distribution: Lab II 1.7 2008/06/19 13:50:00 GMT-5 2008/10/27 20:50:13.445 GMT-5 Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Susan Dean deansusan@deanza.edu Barbara Illowsky illowskybarbara@deanza.edu Connexions cnx@cnx.org elementary statistics This module provides a lab on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. Class Time: Names:

Student Learning Outcome: The student will evaluate if there is a significant relationship between favorite type of snack and gender.

Collect the Data Using your class as a sample, complete the following chart. Favorite type of snack sweets (candy & baked goods) ice cream chips & pretzels fruits & vegetables Total male female Total Looking at the above chart, does it appear to you that there is dependence between gender and favorite type of snack food? Why or why not?

Determine the Classification Conduct a hypothesis test to determine if the factors are independent Ho size 12{H rSub { size 8{o} } } {}: Ha size 12{H rSub { size 8{a} } } {}: What distribution should you use for a hypothesis test? Why did you choose this distribution? Calculate the test statistic. Find the p-value. Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the p-value.

State your decision. State your conclusion in a complete sentence.

Discussion Questions Is the conclusion of your study the same as or different from your answer to (I2) above? Why do you think that occurred?