oduce a slightly more "conservative" answer. 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: 12.7 13.2 8: 9.6 12.6 10.7 12.3 14.4 11.6 13.2 11.1 14.2 12.9 10.9 15.1 10.0 14.3 11.1 7.0 o 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: 12.5 12.3 13.1 13.6 15.7 9.2 12.7 15.8 10.2 10.3 B: 14.1 9.1 17.9 11. 11.8 (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 Hại Hạ 0; H: H- 0; two-tailed O Ho: H - 0; H,: H > 0; right-tailed OHại Hg- 0; H,: H < 0; left-tailed OHoi Hg - 0; H,: H 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 P-value. O P-value > 0.500 O 0.250 < P.value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

I need help with sketching it

Sketch the sampling distribution and show the area corresponding to the P-value.
a
P-value
P-value
d
P-value
P-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.

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