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C D ng cengage.com/static/nb/ui/index.html?nbld 497996&nbNodeld-176563379;&elsBN-978; MIND TAP e Chisquare Statistic-Tests for Goodness of Fit and Independence-Aplia e on May 17 at 5 AM CEST Aa Aa a 3. Tests of independence A social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. She surveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselves introverted. The following contingency table summarizes the responses to the two survey questions. College Type Agricultural, Liberal Arts 4-Year Community or Technical, or Total College University Junior College Specialized College other 218 255 82 Introverted 41 111 125 48 21 The following questions walk you through the steps of a test of the null hypothesis that a student's choice of college type is independent of whether she self-identifies as introverted. inthe three miss ng values inthe contingency tableExplanation / Answer
frequency for extrovert/4 year university category is =331.107
contribution of extrovert/4 year university category is=0.6699
X2 =58.5059
X2>=9.4877
null hypothesis..... extroverted is rejected
Observed O liberal art 4 yr community agril other Total extrovert 218 346 255 82 9 910 introvert 41 111 125 48 21 346 Total 259 457 380 130 30 1256 Expected E=rowtotal*column total/grand total liberal art 4 yr community agril other Total extrovert 187.651 331.107 275.318 94.188 21.736 910 introvert 71.349 125.893 104.682 35.812 8.264 346 Total 259 457 380 130 30 1256 chi square =(O-E)^2/E liberal art 4 yr community agril other Total extrovert 4.908 0.6699 1.4995 1.5771 7.4623 16.117 introvert 12.909 1.762 3.944 4.148 19.626 42.389 Total 17.817 2.432 5.443 5.725 27.088 58.5059Related Questions
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