Stats M. 10

Question 1

Chi square goodness of fit test

Answer 1

used to test the distribution of a categorical variable
-we have 1 sample and 1 variable with multiple categories
ex. does the proportion of sports injuries differ based on the day of the week?

Question 2

chi square test of independence

Answer 2

used to determine if there is an association (relationship) between two categorical variables
-we have 1 sample and 2 variables with multiple categories
ex. is there a relationship between gender and college major

Question 3

chi square test of homogeneity

Answer 3

used to determine if the distribution of a variable with multiple categories is different across 2 or more populations
-we have 2 or more samples and 1 variable
ex. is there a difference in the distribution of class standing (Fr, So, Jr, Sr) amongst the different sections of STA 261

Question 4

Chi square goodness of fit
Ho:
Ha:

Answer 4

Ho: the variable has the specified distribution
Ha: the variable does not have the specified distribution

Question 5

chi square test of independence
Ho:
Ha:

Answer 5

Ho: the two variables are independent
Ha: the two variables are dependent (associated)

Question 6

Chi square test of homogeneity
Ho:
Ha:

Answer 6

Ho: the distribution of the variable is the same across all populations
Ha: the distribution of the variable is not the same across all populations

Question 7

test statistic is…

Answer 7

x^2