Contents
- Preface
1Sampling and Data
- Introduction
- 1.1Definitions of Statistics, Probability, and Key Terms
- 1.2Data, Sampling, and Variation in Data and Sampling
- 1.3Frequency, Frequency Tables, and Levels of Measurement
- 1.4Experimental Design and Ethics
- 1.5Data Collection Experiment
- 1.6Sampling Experiment
- Key Terms
- Chapter Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Solutions
10Hypothesis Testing with Two Samples
- AAppendix A Review Exercises (Ch 3–13)
- BAppendix B Practice Tests (1–4) and Final Exams
- CData Sets
- DGroup and Partner Projects
- ESolution Sheets
- FMathematical Phrases, Symbols, and Formulas
- GNotes for the TI-83, 83+, 84, 84+ Calculators
- HTables
- Index
11.8
Lab 2: Chi-Square Test of Independence
Stats Lab
Lab 2: Chi-Square Test of Independence
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. Ask one another what your favorite snack is, then total the results.
Note
You may need to combine two food categories so that each cell has an expected value of at least five.Sweets (candy & baked goods) Ice Cream Chips & Pretzels Fruits & Vegetables Total Male Female Total Table 11.26 Favorite Type of Snack - Looking at Table 11.26, does it appear to you that there is a dependence between gender and favorite type of snack food? Why or why not?
Hypothesis Test Conduct a hypothesis test to determine if the factors are independent:
- H0: ________
- Ha: ________
- 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. Figure 11.12
- 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 answer to Question 2 under Collect the Data?
- Why do you think that occurred?