Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = (in inches) and y weekly gross earnings in dollars in a random sample of men. = = height The paper reported that the slope of the estimated regression line was b 0.026 and the standard deviation of b was sp = 0.004. Carry out a hypothesis test using = 0.05 to decide if there is convincing evidence of a significant linear relationship between height and the weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met. State the appropriate null and alternative hypotheses. Ho: B = 0 Ha: B> O Ho: B < 0 Ha: B > O Ho: B> 0 Ha: B < 0 Ho: B = 0 Ha # 0 Ho: B = 0 Ha B < 0 Assume the study was based on a sample of 30 men, find the test statistic and P-value. Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = What can you conclude? Fail to reject Ho. We have convincing evidence of a significant linear relationship between height and weekly earnings. Reject Ho. We do not have convincing evidence of a significant linear relationship between height and weekly earnings. Reject Ho. We have convincing evidence of a significant linear relationship between height and weekly earnings. Fail to reject Ho. We do not have convincing evidence of a significant linear relationship between height and weekly earnings.