Show all work round to 2 decimal places The concept of Locus of Control (LoC) was first described by psychologist Julian B. Rotter as a generalized expectancy regarding the source of control of reinforcements. More specifically, locus of control is the extent to which an individual believes that the events and outcomes experienced in life are attributable to their own behavior and characteristics (internal locus of control) or to external forces outside of their control such as luck, chance, or other people (external locus of control). Research shows that people high in external locus of control are more maladjusted, less happy, less productive, and overall have more problems than people high in internal locus of control. Suppose researchers were interested in testing for the difference in locus of control between elementary school children of a certain town in comparison to the expected population average of that state, which is 12. Suppose they gave students at the school the Locus of Control Scale which ranges from 0 (high internal LoC) to 23 (high external LoC) and obtain the following data: LOC scores: 13. 20. 8. 21. 13. 11. 20. 17. 14. 18. N= 10. M= 15.5 S= 4.35 a) State the null hypothesis and the alternative hypothesis. b) Identify the statistical test to be used c) State the critical values of the test statistic d) Compute the value of the test statistic e) Make a statistical decision for each hypothesis f) Provide an interpretation of the results