67 Question 3 0 The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. Occupation Extroverted Introverted Row Total Clergy (all denominations) 65 43 108 M. D 66 95 161 Lawyer 53 84 137 Column total 184 222 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. Depending on the P-value, will you reject or fail to reject the null hypothesis of independence? Since the P-value is less than @, we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.05 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 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent. Since the P-value is greater than @, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent. Since the P-value is less than @, we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent. Since the P.value is less than @, we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.05 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent