HW 12.4-12.6 Score: 0/24 0/24 answered . Question 16 In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will score. A random sample of 17 soccer matches found that the linear correlation coefficient between shots taken and goals scored was 0.49. Does this result suggest that the correlation is statistically significant? Use or = 0.10. 1. Select the correct statement: O Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in a 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: p = 0; Ha: p # 0 O Ho:r 2 0; Hair 0 O Ho: p 0 O Ho: p 2 0; Ha: p a '33:? Do not reject Ho since P > a: '33:? Do not reject Ho since P 31 o: O Reject Ho since P g a The conclusion is: ""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 53' 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 0 Question 17 v To examine the linear correlation between work experience and salary, data was collected from employees at a company. See the table below. Years of Salary Experience ($1000's) 2 41 5 48 8 52 13 50 14 50 15 54 18 54 19 63 22 60 Does this result suggest that the correlation is statistically significant? Use a = 0.01 . Important Note: Round your value for T to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STE. 1. Select the correct statement: '33:? If the correlation is found to be statistically significant, that means that changes in 3: cause changes in y '33:? Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in 3 cause changes in y The hypotheses are: O Ho: p 0 O Ho:r = 0; Ha:r # 0 O Ho:p = 0; Ha: p # 0 O Ho:r 0 O Ho: p 2 0; Ha: p or The conclusion is: '3' There is sufficient evidence to conclude that there is a statistically significant linear correlation '13:} There is sufficient evidence to conclude that there is not a statistically significant linear correlation '3' There is insufficient 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