3. Use the following information to carry out a two sample t- test (10 points): Jason Ingram and William Terrill (2014) have conducted research on female and male police officer perceptions of the role of the police within the public and the departments. They concluded that female and male police officers do not view their jobs very differently (i.e., female perceptions = male perceptions). Let's say that we wanted to continue this work and were interested in how female and male police officers view one component of police work: the handling of domestic disputes. We therefore created a scale that measures how important settling domestic disputes is and whether it is perceived as part of "police work." Those who score high on this scale think that the fair settling of domestic disturbances is of high priority and that it should be an important part of police officer's work. We then surveyed a random sample of police officers, in which there are subsamples of 50 male police officers, and 25 female officers. The mean score for female officers is 21.3 (with a standard deviation of 3.0) and the mean score for male officers is 18.8 (with a standard deviation of 4.5). Test the null hypothesis that the two means are equal against the alternative hypothesis that the male mean is lower than the female mean. In our hypothesis test, do not presume that the population standard deviations are equal (i.e., use pooled SE), and use an alpha level of .05. Clearly identify each step of hypothesis testing and be sure to fully interpret your results