We fail to reject the null hypothesis at the 0.05 level of
significance because the p-value is greater than alpha.
Therefore, we have insufficient evidence to say that there
is an association between whether or not a student has a
personal relationship with someone with an intellectual
disability and how frequent they use the r-word.
We reject the null hypothesis at the 0.10 level of
significance because the p-value is less than alpha.
Therefore, we have sufficient evidence to say that there is
an association between whether or not a student uses the
term as a medical term and how frequent they use the r-word.
We first tested our data with a chi-square test. In this
test, we tested all five frequency choices available.
However, every test we performed did not meet the
assumptions of having an expected cell count of greater than
five. We then decided to group the frequency choices
together in order to get valid results. We grouped everyday
and a few times a week together and once every few months,
never, and not sure together. We placed not sure in the
latter group because we felt that if a person was not sure
of how often they said the r-word, they most likely didn’t
say it as often as the former group. Using this new
grouping, we performed another chi-square test, this time
with much more valid results. We did three of these
chi-square tests. We tested the association between whether
a student had a personal relationship with someone with a
disability and the frequency they use the r-word, the
association between whether the student uses the r-word as a
medical term and the frequency the student uses the word,
and the association between whether the responder was a
teacher or a student and the frequency they used the word.
We failed to reject the first null hypothesis, thus we found
that there is no association between whether a person knows
someone with a disability and how often they use the word.
This was surprising to us as we assumed that students who
personally knew someone with a disability would use the word
less than those who didn’t. We were able to reject the
second null hypothesis but only at the 0.10 level of
significance. The association of use as a medical term and
frequency of use in students did not surprise us. We
originally thought that if a student uses the r-word as a
medical term, they are less likely to use it casually. Our
last test failed to meet the assumptions as its expected
cell counts were less than 5. In fact, none of the other
tests involving the data gathered from teachers was valid
because their expected cell counts were less than 5. This
was because of the small sample of teachers and the fact
that all of the teachers filled out the survey in a similar
way.
We were ultimately surprised by our results because we
thought the strong association would be between whether a
student personally knew someone with a disability and how
often they use the r-word. However, our tests proved our
original thinking wrong.