# Chi-Square - Test of Independence (Worksheet)

Name: ______________________________

Section: _____________________________

Student ID#:__________________________

Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

### Student Learning Outcome

• The student will evaluate if there is a significant relationship between favorite type of snack and gender.

### Collect the Data

1. Using your class as a sample, complete the following chart. Ask each other 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.

Favorite type of snack
sweets (candy & baked goods) ice cream chips & pretzels fruits & vegetables Total
male
female
Total
2. Looking at Table, 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:

1. $$H_{0}$$: ________
2. $$H_{a}$$: ________
3. What distribution should you use for a hypothesis test?
4. Why did you choose this distribution?
5. Calculate the test statistic.
6. Find the p-value.
7. Sketch a graph of the situation. Label and scale the $$x$$-axis. Shade the area corresponding to the $$p\text{-value}$$.

Figure 11.9.1.