Question

Chi Square Assignment

Foundational Knowledge:

1. When is chi-square used?

Critical Thinking and Application:

1. Create null and research hypothesis statements and formulas for the following scenario:

Sam wants to know out of all majors, which has the most students?

H₀:

H₁:

2. Using the numbers provided below, calculate a one-sample Chi-Square and interpret the outcome at the .05 level. (where O = observed; E = expected) [In this example, we are expecting there to be the same number of majors for each group. This is the expected numbers. The observed was how many were actually in each group. Our null hypothesis (H₀: P₁ = P₂) is that each major has the same amount of people.]

Major	O	E	(O-E)	(O-E)2	(O-E)2/E
Psychology	20	15
Nursing	10	15
Criminal Justice	15	15
Total		45

This box is your x²(2)

N = _____, df = _______ Critical Value: _______________

x²₍₂₎ = ______, p __ .05

3. Interpret your findings. Is the test significant? Accept or reject the null hypothesis?

4. Go through the steps of a chi-square for the following data about favorite pizza toppings: (See page 2)

Topping	Frequency
Pepperoni	8
Mushrooms	3
Cheese only	6
Sausage	12
Deluxe	5
Veggie	2
TOTAL

N = df =

Topping	O	E	(O-E)	(O-E)2	(O-E)2/E
Pepperoni
Mushrooms
Cheese only
Sausage
Deluxe
Veggie
TOTAL		36

(see page 326 appendix H to find) Critical Value (at .05) =

x²₍₂₎ = p<

Interpretation (explain what this result means):

Answer 1