Question
ID: A 3. The following table aows the Myvers Briggs personality pre preferences for a random sample of 406 people in the listed professions. Occupation Clergy (all denominations) 62 Row Total Extroverted Introverted 106 160 140 406 M.D 94 84 56 184 Column Total Use the chi-square to independent an reject the null hypothesis of independence? A) Since the P-v independhit guule test to determine if the listed occupstions and personality preferences are level of significance. Depending on the P-value, will you reject or fail to alue is greater than we fail to reject the null hypothesis that the personality preference and profession are not independent. At0.1 Myers-Briggs personality pr level of significance, we conclude that the Myers-Briggs personality preference and profession are independent. Since the P-value is greater than , we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent Since the P-value is less than a, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.1 level of significance, we conclade that the Myers-Briggs personality preference and profession are independent B) C) bypothesis that the yers-Briggs personality preference and D) Since the P-value is less than a we reject the nul Myers-Briggs personality preference and of significance, we conclude that the M profession are not independent Since the P-v Myers-Briggs personality preference of significance, profession are not independent profession are independent. At 0.1 level alue is less than , we fail to reject the null hypothesis that the E) nality preference and profession are independent At 0.1 level we conclude that the Myers-Briggs personality preference and
Explanation / Answer
The P-Value is 0.006448 and hence the result is significant at p < 0.01.
D) is the correct answer
Observed Occupation Extroverted Introverted Row Total Clergy 62 44 106 M.D. 66 94 160 Lawyer 56 84 140 Column Total 184 222 406 Expected Occupation Extroverted Introverted Row Total Clergy 48.03940887 57.96059113 106 M.D. 72.51231527 87.48768473 160 Lawyer 63.44827586 76.55172414 140 Column Total 184 222 406 (O-E)^2/E Occupation Extroverted Introverted Row Total Clergy 4.057046275 3.362596912 7.419643187 M.D. 0.584869619 0.484756801 1.06962642 Lawyer 0.874362819 0.724697111 1.599059929 Column Total 5.516278712 4.572050824 10.08832954=> chi-square