hoping someone can help me. our class did a small sampling project. we had to count how may people wear hats to class on monday's vs friday's. everyone in our stats class had different doors to collect sampling data. so collectively, we got a good chunk of our school.
anyway, i'm supposed to write up a short half page methodology report. in it, i'm supposed to clearly state the statistical assumptions, statistical tools actually used (particularly t vs z), and state the formulas actually used.
i think i'll we'll be using t, correct? because we certainly don't know the populations standard deviation. what other reasons would i use t, if that is even correct? what other formulas would we actually use? and what are the statistical assumptions?
Did you observe the same classrooms on Monday and Friday? if so, sounds like a paired sample t to me, otherwise, independent sample t
stats assumptions could be normal distribution and equal variance, you can test that from your sample data
Did you track individuals or did you just count how many people with or with out hats, not noting the actual individuals? Was the attendance equal or approximately the same on both days? Hat people could have skip Fridays or Mondays. You have to describe the data some more, you have not sold me on a continuous variable as your outcome, why not binary (hat yes/no)?