In: Statistics and Probability
The following table represents the number of times a person reports brushing his/her teeth and the person's age. Using alpha at .05, Test if there is a significant relationship. Identify the P value.
Age 20-29 30-39 40-49 50+
Never 19 15 4 2
Once a day. 22 25 9 2
Twice a day 35 40 52 58
Three times a day 0 10 3 20
We will use MINITAB software to get the answer,
we need to find is there any relationship between number of times a person reports brushing his/her teeth and the person's age
so we set the hypothesis as
H0: number of times a person reports brushing his/her teeth and the person's age are independently distributed
vs
H1: number of times a person reports brushing his/her teeth and the person's age are related
The MINITAB output is
Here we get p-value<0.05 hence we will reject H0 and claim that number of times a person reports brushing his/her teeth and the person's age are related to each other significantly at 95% confidence.