A researcher would like to examine whether there is a consistent, predictable relationship between political preference and personality. A sample of 100 students is obtained, and each participant answers questions based on political stances, as well as completes a well-validated test of personality. Participants are then classified as being conservative or liberal, as well as having more of a Type A or Type B personality based on their responses. The results are summarized in the following frequency distribution. Which chi-square value is obtained when conducting a chi-square test for independence?                                                       Political Preference                                     Liberal        Conservative Type A Personality ​ 23 20 Type B Personality 31 26     a. Χ2 = 0.008   b. Χ2 = 1.80   c. Χ2 = 0.80   d. Χ2 = 0.08

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A researcher would like to examine whether there is a consistent, predictable relationship between political preference and personality. A sample of 100 students is obtained, and each participant answers questions based on political stances, as well as completes a well-validated test of personality. Participants are then classified as being conservative or liberal, as well as having more of a Type A or Type B personality based on their responses. The results are summarized in the following frequency distribution. Which chi-square value is obtained when conducting a chi-square test for independence?

           

                                          Political Preference

                                    Liberal        Conservative

Type A Personality

23

20

Type B Personality

31

26

 

  a.
Χ2 = 0.008
  b.
Χ2 = 1.80
  c.
Χ2 = 0.80
  d.
Χ2 = 0.08
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