3. You quickly realize that doing these tests by hand will take quite some time. Fortunately, SPSS allows us to conduct 2 tests very quickly, although the option is labeled as a ttest. In reality, this function does both; tand 2 statistics are equivalent when your sample is greater than 120. With this knowledge in mind, you move on to the possibility that students view crime as more wrong following the intervention, a key element of social bond theories. The original survey of students found that they had a mean score of 16.5: a. b. Formally write your statistical hypotheses. What is the appropriate test statistic and sampling distribution for this case? In this case, assume a two-tailed test will be used. Determine an alpha level that you will use. You do not need to nd the critical value. Use SPSS to perform a one-sample z or ttest. Select analyze->compare means->one sample ttest. Put the vari- able \"Moral\" in the \"test variable\" box, and set your test value to the comparison mean, 15.2: i. The output SPSS provides several key pieces of information, most of which are intuitively labeled. In this case, the \"1'\" statistic provided is actually a 2 statistic due to your sample size. The main box to notice is labeled \"sig (2-tailed),\" which contains the exact p value, which is compared against your specied alpha. A value of .000 means your p value is actually something like .000001certainly significant at p = .001. What do you conclude about your hypotheses? Is the conclusion the same at all levels of signicance? f. Write a few sentences summarizing these results to your boss. Be sure to include mention of the type of test you used, what the result was, and the highest level at which the results were signicant, if at all. Also write a sentence about the \"so what\" of your results: What does this mean for your intervention, and how large was the change produced? One-Sample Statistics Std. Std. Error N Mean Deviation Mean morally wrong scale 1272 17.60 2.638 .074 One-Sample Test Test Value = 10.4 95% Confidence Interval of Significance Mean the Difference t df One-Sided p Two-Sided p Difference Lower Upper morally wrong scale 97.351 1271 000 000 7.201 7.06 7.35 One-Sample Effect Sizes Standardizera Point 95% Confidence Interval Estimate Lower Upper morally wrong scale Cohen's d 2.638 2.730 2.610 2.849 Hedges' correction 2.640 2.728 2.608 2.847