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.I need help with sketching, (d) and (e) 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 thereforeproduce 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.A:12.713.212.612.311.611.114.215.1B:9.614.310.714.413.212.910.910.012.3A:B:12.513.115.810.312.711.115.714.113.69.110.217.911.87.09.2Do the data indicate a difference (either way) between population average birth rate and death rate in this region? Use a = 0.01. (Let d = A – B.)(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?O Ho: Hd# 0; H;:H = 0; two-tailedO Ho: Hd = 0; H:> 0; right-tailedO Ho: H = 0; H,: H < 0; left-tailedO Ho: H = 0; H,: Hg# 0; two-tailed(b) What sampling distribution will you use? What assumptions are you making?O The Student's t. We assume that d has an approximately uniform distribution.O The Student's t. We assume that d has an approximately normal distribution.O The standard normal. We assume that d has an approximately normal distribution.O The standard normal. We assume that d has an approximately uniform distribution.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find (or estimate) the Pp-value.O P-value > 0.500O 0.250 < P-value < 0.500O 0.100 < p-value < 0.250O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value.aP-valueP-valuedP-valueP-value(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) State your conclusion in the context of the application.O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average birth and death rates are different in this region.O Reject the null hypothesis, there is sufficient evidence to claim that the average birth and death rates are different in this region.O Fail to reject the null hypothesis, there is insufficient evidence to claim that the average birth and death rates are different in this region.O Reject the null hypothesis, there is insufficient evidence to claim that the average birth and death rates are different in this region.

Name: In this problem, assume that the distribution of differences is approx
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 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-val