The following table shows the Myers-Briggs personality preferences for a random sample of 405 people in the listed professions. Occupation Extroverted Introverted |Row Total Clergy (all denominations) 60 48 108 M.D 65 94 159 Lawyer 58 80 138 Column total 183 222 405 Use the chi-square test to determine if the listed occupations and personality preferences are independent at a = 0.05. State the null and alternate hypotheses. O Ho : Myers-Briggs preference is independent whereas profession is not independent; H1 : Myers-Briggs preference and profession are independent O Ho : Myers-Briggs preference and profession are not independent; H1: Myers-Briggs preference and profession are independent O Ho : Myers-Briggs preference is not independent whereas profession is independent; H,: Myers-Briggs preference is independent whereas profession is not independent O Ho : Myers-Briggs preference is independent whereas profession is not independent; H, : Myers-Briggs preference and profession are not independent O Ho : Myers-Briggs preference and profession are independent; H1: Myers-Briggs preference and profession are not hidependent