In: Statistics and Probability
A research explores the relationship between self-control (as a self-reported trait) and impulsive buying among 30 unemployed adults between the ages of 25 and 40. Scores of the self-control scale can range from 20 to 100. With a higher score suggesting more of that trait. Impulsive buying was assessed with 5 items, and scores can range from 5 to 25, with higher scores reflecting more impulsive buying behavior. The correlation between variables is -.46. The researcher also computes the linear regression predicting impulsive buying from self-control and finds Y’=-.25X+20. State Null Hypothesis State a directional alternative hypothesis. Can you reject the null hypothesis? Why or why not? What is the probability of type I error? Type II error? If an adult scores 72 on self-control, what is her predicted impulsive buying score? Given the information you have, can you predict a person’s self-control scores from his impulsive buying scores? Why or why not? What percentage of variability in impulsive buying is accounted for by knowing its relationship with self-control?