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 of independence, and which decision should be made regarding the hypothesis test using α = .05? Political Preference Liberal Conservative Type A Personality 15 40
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 of independence, and which decision should be made regarding the hypothesis test using α = .05?
Political Preference
Liberal Conservative
Type A Personality 15 40
Type B Personality 28 17
a. Χ2 = 12.34; Fail to reject the null hypothesis
b. Χ2 = 12.34; Reject the null hypothesis
c. Χ2 = 5.15; Fail to reject the null hypothesis
d. Χ2 = 5.15; Reject the null hypothesis
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