I am doing a research study assignment for statistics class.

If I have one interval and one nominal variable would I use an ANOVA? And if so should I use a one-way or two way ANOVA? and do I need an ad hoc test?

If I don't need to do an ANOVA please indicate what statistical test I should consider.

I am not sure which statistical test to use.

Here's my data:

Data gathered from GSS explorer - year 2018.

Independent variable: internet usage in hours per week (interval data)

(three intervals of times. 0-5 hrs per week. 6-10 hours per week. and over 10 hours per week)

dependent variable: its effect on a persons mental health (nominal data)

(The responses for mental health is: poor, fair, good, very good, and excellent.)

Number of samples pulled: 2348