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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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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