We Want to Know Whether the Categorical Variables "Eating Breakfast

question 23

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.

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Definitions:

Activities

Tasks, actions, or operations that people engage in, often for enjoyment, learning, or achieving a goal.

Dorsal Root

The part of a spinal nerve that carries sensory neural signals to the spinal cord from the peripheral organs.

Sensory Nerve Impulses

Electrical signals generated by sensory receptors that convey information from the sensory organs to the brain.

Motor Nerve Impulses

electrical signals that travel along motor neurons to stimulate muscles to contract or glands to secrete.