We Want to Know Whether the Categorical Variables "Eating Breakfast

Essay

We want to know whether the categorical variables "eating breakfast" and "student's sex" are statistically independent.
H0: Eating breakfast and student's sex are independent.
HA: There is an association between eating breakfast and student's sex.
Conditions:
*Counted data: We have the counts of individuals in categories of two categorical variables.
*Randomization: We have a convenience sample of students, but no reason to suspect bias.
*Expected cell frequency: The expected values (shown in parenthesis in the table) are all greater than 5, so the condition is satisfied.
Under these conditions, the sampling distribution of the test statistic is ç2 with (r - 1)(c - 1) = (2 - 1)(2 - 1) = 1 degree of freedom, and we will perform a chi-square test of independence.