Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 175 152 123 121 99 89 39 22 24 87 Historic Debt per Capita 145 137 85 114 59 67 33 31 45 76 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 25 12 23 193 182 142 124 107 78 Historic Debt per Capita 28 12 14 27 105 151 143 114 116 73 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: Distributions are the same. H1: Modern debt distribution is lower.H0: Modern debt distribution is higher. H1: Distributions are the same. H0: Modern debt distribution is lower. H1: Distributions are different.H0: Distributions are the same. H1: Modern debt distribution is higher. (b) Compute the sample test statistic. (Round your answer to two decimal places.) What is the sampling distribution? Student's tchi-square normaluniform (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (d) Conclude the test. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret the conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita. Reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.

Borrowing money may be necessary for business expansion. However, too much borrowed money can also mean trouble. Are developing countries tending to borrow more? A random sample of 20 developing countries gave the following information regarding foreign debt per capita (in U.S. dollars, inflation adjusted). (Reference: Handbook of International Economic Statistics, U.S. Government Documents.) Country 1 2 3 4 5 6 7 8 9 10 Modern Debt per Capita 175 152 123 121 99 89 39 22 24 87 Historic Debt per Capita 145 137 85 114 59 67 33 31 45 76 Country 11 12 13 14 15 16 17 18 19 20 Modern Debt per Capita 26 25 12 23 193 182 142 124 107 78 Historic Debt per Capita 28 12 14 27 105 151 143 114 116 73 Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: Distributions are the same. H1: Modern debt distribution is lower.H0: Modern debt distribution is higher. H1: Distributions are the same. H0: Modern debt distribution is lower. H1: Distributions are different.H0: Distributions are the same. H1: Modern debt distribution is higher. (b) Compute the sample test statistic. (Round your answer to two decimal places.) What is the sampling distribution? Student's tchi-square normaluniform (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (d) Conclude the test. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret the conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita. Reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.

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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Question

Country	1	2	3	4	5	6	7	8	9	10
Modern Debt per Capita	175	152	123	121	99	89	39	22	24	87
Historic Debt per Capita	145	137	85	114	59	67	33	31	45	76

Country	11	12	13	14	15	16	17	18	19	20
Modern Debt per Capita	26	25	12	23	193	182	142	124	107	78
Historic Debt per Capita	28	12	14	27	105	151	143	114	116	73

Does this information indicate that foreign debt per capita is increasing in developing countries? Use a 0.05 level of significance.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: Distributions are the same.
H₁: Modern debt distribution is lower.H₀: Modern debt distribution is higher.
H₁: Distributions are the same. H₀: Modern debt distribution is lower.
H₁: Distributions are different.H₀: Distributions are the same.
H₁: Modern debt distribution is higher.

(b) Compute the sample test statistic. (Round your answer to two decimal places.)

What is the sampling distribution?

Student's tchi-square normaluniform

At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret the conclusion in the context of the application.

Reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is sufficient evidence that modern debt is higher per capita. Reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.Fail to reject the null hypothesis, there is insufficient evidence that modern debt is higher per capita.

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