The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Dcmpaon E I Row Total Clergy (all denominations} 60 4? 10? MD. 63 99 162 Lawyer 5'5 81 13?r Column Total 1?? 22? 406 Use the chisquare test to determine if the listed occupations and personality preferences are independent at the 0.05 level of signicance. {a} What is the level of signicance? {bl Find the 1ll'alue of the chisquare statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) {cl Find or estimate the Pyalue of the sample test statistic. {d} Based on your answers in parts {a} to (cl, will you reject or fail to reject the null hypothesis of independence? Since the Pyalue a a, we fail to reject the null hypothesis. Since the Pyalue :- a, we reject the null hypothesis. Since the Pyalue 5 or, we reject the null hypothesis. Since the Frame 5 a, we fail to reject the null hypothesis