Question

Scenario: 100 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05.

Iron Man	Black Panther	Wonder Woman	Spiderman
fo = 20	fo = 30	fo =30	fo = 20
fe=	fe=	fe=	fe=

The expected frequency, f_e= ____

4

25

20

100

Chi Square test statistic = ______

6.55

4.00

8.00

3.50

degrees of freedom, df = ______, and the Chi Square critical boundary = ______

1; 3.84

3; 7.81

2; 5.99

4; 9.49

What is the correct result based on the data?

Retain H₀; Not Significant; population frequencies equal

Reject H₀; Significant; population frequencies NOT equal

Reject H₀; Significant; population frequencies equal

Retain H₀; Not Significant; population frequencies NOT equal

The correct APA format for the result would include

p < .05

p > .05

Answer 1

The expected frequency, fe= 25 Chi Square test statistic = 4.00 Degrees of freedom, df= 3, and the Chi Square critical boundary = 7.81 The correct result based on the data is: Retain Ho; Not Significant; population frequencies equal The correct APA format for the result would include: P>.05 Test Statistics favorite Chi-Square 4.000 df 3 Asymp. Sig. .261 a. O cells (0,0%) have expected frequencies less than 5. The minimum expected cell frequency is 25.0.