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There may be an association between a country's birthrate and the life expectancy of its inhabitants. A report this past year, coming from a random sample of 20 countries, contained the following information: the least-squares regression equation relating the two variables number of births per one thousand people (denoted by x) and female life expectancy (denoted by y and measured in years) is y= 82.28 – 0.51 x, and the standard error of the slope of this least-squares regression line is approximately 0.35. Based on this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope ß . (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H1. Ho : 0 H1 : 0 |(b) Determine the type of test statistic to use. A D-0 OSO Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) Find the two critical values at the 0.10 level of significance. (Round to three or more |(d) decimal places.) I and O (e) Based on the report, can we conclude (using the 0.10 level) that there is a significant linear relationship between number of births per one thousand people and female life expectancy? Yes No

There may be an association between a country's birthrate and the life expectancy of its inhabitants. A report this past year, coming from a random sample of 20 countries, contained the following information: the least-squares regression equation relating the two variables number of births per one thousand people (denoted by x) and female life expectancy (denoted by y and measured in years) is y= 82.28 – 0.51 x, and the standard error of the slope of this least-squares regression line is approximately 0.35. Based on this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope ß . (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H1. Ho : 0 H1 : 0 |(b) Determine the type of test statistic to use. A D-0 OSO Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) Find the two critical values at the 0.10 level of significance. (Round to three or more |(d) decimal places.) I and O (e) Based on the report, can we conclude (using the 0.10 level) that there is a significant linear relationship between number of births per one thousand people and female life expectancy? Yes No

MATLAB: An Introduction with Applications
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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There may be an association between a country's birthrate and the life expectancy of its inhabitants. A report this past year, coming from a random sample of 20 countries, contained the following information: the least-squares regression equation relating the two variables number of births per one thousand people (denoted by x) and female life expectancy (denoted by y and measured in years) is y = 82.28 – 0.51 x, and the standard error of the slope of this least-squares regression line is approximately 0.35. Based on this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, : 0 H :0 O=0 OSO (b) Determine the type of test statistic to use. Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) Find the two critical values at the 0.10 level of significance. (Round to three or more (d) decimal places.) I and | (e) Based on the report, can we conclude (using the 0.10 level) that there is a significant linear relationship between number of births per one thousand people and female life expectancy? Yes No Ix
Transcribed Image Text:There may be an association between a country's birthrate and the life expectancy of its inhabitants. A report this past year, coming from a random sample of 20 countries, contained the following information: the least-squares regression equation relating the two variables number of births per one thousand people (denoted by x) and female life expectancy (denoted by y and measured in years) is y = 82.28 – 0.51 x, and the standard error of the slope of this least-squares regression line is approximately 0.35. Based on this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, : 0 H :0 O=0 OSO (b) Determine the type of test statistic to use. Degrees of freedom: 0 (c) Find the value of the test statistic. (Round to three or more decimal places.) Find the two critical values at the 0.10 level of significance. (Round to three or more (d) decimal places.) I and | (e) Based on the report, can we conclude (using the 0.10 level) that there is a significant linear relationship between number of births per one thousand people and female life expectancy? Yes No Ix
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