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                                     1st       2nd         3rd ​ Outgoing ​ 13       ​ 31   ​ 16     ​ Reserved ​ 17     ​ 19   ​ 4                   5. Calculate and fill-in the expected frequencies in the table. Show your work below:                 6. Calculate χ2 using the χ2 formula:               7. What is the df?     8. Is the χ2 value significant at α = .05?     9. Report the χ2 in APA format (in literature format)     10. What can be concluded about the relationship between birth order and personality type?

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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

                                    1st       2nd         3rd

Outgoing

13

 

 

 

31

 

16

 

 

Reserved

17

 

 

19

 

4

 

 

 

 

 

 

 

 

 

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

 

 

 

 

 

 

 

 

6. Calculate χ2 using the χ2 formula:

 

 

 

 

 

 

 

7. What is the df?

 

 

8. Is the χ2 value significant at α = .05?

 

 

9. Report the χ2 in APA format (in literature format)

 

 

10. What can be concluded about the relationship between birth order and personality type?

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