Use the following table to answers questions 5-10. A researcher is interested in the relationship between birth order and personality. A sample of n = 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person's birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table.

Birth Position

1st2nd3rd

Extrovert

13

31

16

Introvert

17

19

4

5. Calculate and fill-in the expected frequencies in the table. Show your work below:

6. Calculate ² using the ² formula:

7. What is the df?

8. Is the ² value significant at = .05?

9. Report the ² in APA format (in literature format)

10. What can you conclude, is there a relationship between birth order and personality type?