3. A research article states that y = satisfaction with police (measured using a survey questionnaire) is related to x = neighborhood social disorder (vandalism, traffic, decayed buildings and streets, etc.). They summarize their findings as 7-12 Satisfaction with police declines swiftly as perceptions of neighborhood social disorder increase (n=178, beta1 B= -0.62, r = 0.18). (a) Calculate the F test for a linear relationship between the two variables. Are the authors justified in claiming the two are related? (b) Give a 95% confidence interval for the true value off beta1. What allows the authors to use the word "declines" in their statement?