HW 12.4-12.6 Score: 0/24 0/24 answered . Question 14 Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 23 (x, y) pairs yields r = 0.43. Use a = 0.01. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in a cause changes in y O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in a cause changes in y The hypotheses are: O Ho:r 0 O Ho:r = 0; Ha:r # 0 O Ho: p 2 0; Ha: p 0 O Ho:r 2 0; Ha:r or '33:? Reject Ho since P :> or The conclusion is: ""33 There is sufficient evidence to conclude that there is not a statistically significant linear correlation ""33 There is insufficient evidence to conclude that there is a statistically significant linear correlation 373' There is sufficient evidence to conclude that there is a statistically significant linear correlation ":3 There is insufficient evidence to conclude that there is not a statistically significant linear correlation Question 15 Test the claim that the linear correlation coefficient of a population is statistically significant. A random sample of 19 (x, y) pairs yields r = 0.56. Use a = 0.01. 1. Select the correct statement: O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in x cause changes in y O If the correlation is found to be statistically significant, that means that changes in a cause changes in y The hypotheses are: O Ho:r = 0; Ha:r # 0 O Ho: p 2 0; Ha: p 0; Hair 0 O Ho: p 0 2. This is a O left two right tailed test and the distribution used is OT OZThe Degrees of Freedom are C- 18 '3' NA; this is a Z-test -:222:- 19 -:::Ii2:- 17 3. The STS {round to 3 decimals} is: The P-value (round to 4 decimals} is: 4. The decision at or = 0.01 is: '33:? Do not reject Ho since P i; o: ""3? Reject Ho since P 3 a ""333 Do not reject Ho since P > o: '5'} Reject Ho since P :> a The conclusion is: '33:} There is insufficient evidence to conclude that there is a statistically significant linear correlation '33:} There is insufficient evidence to conclude that there is not a statistically significant linear correlation '33:} There is sufficient evidence to conclude that there is not a statistically significant linear correlation '33:? There is sufficient evidence to conclude that there is a statistically significant linear correlation