µ1 = The true mean number
of children in each Conservative/Republican family.
µ2 = The true mean number
of children in each Liberal/Democrat family.
Ho: µ1 - µ2
=0
Ha: µ1 - µ2
≠ 0
α = 0.05
Assumptions: The sample is
independent and random. Also, n=58, which is greater than
30, therefore, the central limit theory applies.
t =
=
p-value = 0.50858
Conclusion: We fail to reject the
null hypothesis at the 0.05 level of significance because the
p-value is > α. Therefore, there is insufficient evidence to
say that the true mean number of children in each
Conservative/Republican family is different from the true mean
number of children in each Liberal/Democrat family for families
with students at