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.
Please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
(b) What sampling distribution will you use? What assumptions are you making? Compute the value of the sample test statistic.
(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a)€“(c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(e) Interpret your conclusion in the context of the application.
Assume that the distribution of differences is approximately normal.

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A: 12.713.4 2.8 2. 1.6 . 14.2 15 B: 9.8 14.5 074. 3.0 2.9 10.9 10.0 A: 12.5 12.3 13. 15.8 10.3 12.7 17.9 1.8 15.7 13.6 10.2 70 9.2