Sampling
In order to obtain our data, we decided that our
sample would be the entire population of
students at NOHS. In order to obtain our
proportion of students wearing their IDs for the
morning, we sat at the two ID scanners in the
front of the school - which each student has to
pass once when they arrive at school - and
tallied both those who were wearing their IDs
around their neck and those were not. For the
proportion of those wearing their IDs in the
afternoon, we would go to the cafeteria and wait
for everyone to get their food from the lunch
line. Then, we would split the cafeteria into
sections and we would go through and tally
everyone who was wearing their IDs around their
neck and those who were not. At the end we would
add all of the tallies for ON together and all
the the ones for OFF for both the morning and
the afternoon. We did this for three days.
Significance Test
We chose to do a two sample proportion test since we were comparing the two proportions of students who were actually wearing their IDs in the morning and of students who were actually wearing their IDs in the afternoon.
P1= the proportion of students actually wearing their IDs in the morning
P2= the proportion of students actually wearing their IDs in the afternoon
Ho= p1=p2
Ha= p1>p2
a= .05
Conditions: Since our sample was our entire population, we met all of the conditions necessary to run a hypothesis test.
z=
p-value= .003