In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information.
Do the data indicate a difference (either way) between population average birth rate and death rate in this region? Use α = 0.01. (Let d = A − B.)
(a) What is the level of significance?
(b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
|A||B||d = A - B|
Level of Significance α = 0.01
Test Statistic :
t = 1.175
P-value = 0.25831
P-value > 0.01
Fail to reject H0 (Null hypothesis)
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