1. A Social Science student conducted a study to assess the association between two variables measured at a categorical level for Creativity and Online gaming activities among adolescents. The following data were obtained.
| | | Online gaming activities | | |
| :--- | :--- | :--- | :--- | :--- |
| | | Low | Moderate | High |
| Creativity | Above average | 10 | 35 | 40 |
| | Below average | 30 | 15 | 20 |
a. Test for hypothesis at 0.05 significant level. Show all your calculations and hypothesis-testing steps. (15 marks).
b. Calculate and interpret the strength of the relationship (5 marks).
2. A psychological researcher is interested in investigating the relationship between 'screen time exposure' and 'perceived social anxiety' among students enrolled at SACAP. Data were collected from randomly selected participants.
| Screen time (hours/day) | Perceived social anxiety |
| :--- | :--- |
| 2 | 4 |
| 1 | 4 |
| 5 | 6 |
| 4 | 3 |
| 3 | 7 |
| 9 | 7 |
| 6 | 6 |
| 10 | 9 |
| 11 | 8 |
| 7 | 6 |
| 9 | 8 |
a. Calculate an appropriate statistic to investigate if the relationship between the two variables is significant at the population level. You are required to use a two-tailed test with an alpha level of 0.05. Show all your calculations and hypothesis testing steps. (17 marks)
b. Interpret the correlation coefficient in terms of; direction, magnitude/size and coefficient of determination. (3 marks)
