4. A social psychologist observes the personal space maintained by people in a bar as a function of the appearance of the person one interacts with. The researchers assistant was either well dressed or shabbily dressed and approached each person, standing 3 feet away. The researcher observed the distance in feet each participant then put between him/herself and the research assistant. The data collected by the social psychologist are presented below. Using alpha = .05. determine if the appearance of the research assistant inuenced the personal space maintained by people in a bar. [20 total points] Distance mrgs Well-Dr bahhilyDrgs 2 5.5 2.5 3.5 3 4 2.5 5.5 l 6 4 5 2.5 4.5 2 3.5 3 5 3 .5 4 a. Describe the statistical test to be done. [2 points] b. State the null and alternative hypotheses. [2 points] c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis? [3 points] CV: Reject H\" if t d. Paste in your SPSS output below. Write out the appropriate t formula and plug in the values om the output to show you understand how the statistic is generated. Be sure to circle the means, standard error, and observed value of t in the output. Show your work for computing eta2 as well. [5 points] e. Write out an APA Style conclusion about the research project, using the context of the study. [8 points]