A professor is interested in determining if attending college influences the level at which an individual cooperates with the police. The professor is unsure if attending college will teach respect for authority and thus increase level of cooperation or if college will teach independent thinking and thus lead to deceased level of cooperation. To address this question, the professor gathers information from the students in an undergraduate course and calculates their propensity for cooperating with the police (higher number means higher level of cooperation) and compares it to the known mean and standard deviation of the general population.
a) Would the professor conduct a 1-tailed or 2-tailed hypothesis test? Explain why.
b) Use the information below to conduct a z-test using p=.05 as your alpha level. Make sure you complete all 5 steps and show your work/answers for each step.
Sample Population
Mean = 3.13 Mean = 3.02
SD = 0.53 SD = 0.54
n = 86
c) Calculate a 95% confidence interval for the above sample.