The following table shows the Myers-Biggs personality preferences for a random s

Question

The following table shows the Myers-Biggs personality preferences for a random sample of 406 people in the listed Professions E refers to extroverted and I refers to introverted Use the chi-square best determine the listed occupations and Personality preferences are independent at the 0.05 level of significance. What is the level of significance? ___________State the null and alternate hypothesis H_0: Myers Biggs preference and profession are not independent H_1:Myers Briggs preference and profession are independent. H_0: Myers-Briggs preference and profession are independent H_1: Myers Briggs preference and profession are independent. H_0:Myers-Briggs preference and profession are independent H_1:Myers Briggs preference and profession are not independent. H_0:Myers Briggs preference and profession are not independent H_1: Myers Briggs preference and profession are not independent Find the value of the chi-square statistic for the sample. (Round the expected freque

Explanation / Answer

Occupation Personality Type 2 1 Total Clergy 60 47 107 MD 66 96 162 Lawyer 61 76 137 Total 187 219 406 a) 0.05 H0: Myers- Briggs preference and profession are independent H1: Myers- Briggs preference and profession are not independent b) 60+66+61/107+162+137 0.460591133 Occupation Personality Type 2 1 Total Clergy 49.28325123 57.71674877 107 MD 74.61576355 87.38423645 162 Lawyer 63.10098522 73.89901478 137 Total 187 219 406 c2 STAT (fo-fe)^2/fe c2 STAT 2.330380024 1.989867874 0.994848514 0.849482521 0.069953565 0.05973204 6.294264538 Critical value of chi-square is 5.99. Since 6.29>5.99, reject the null hypothesis Yes Chi-square DF=2 The P-Value is 0.043067. The result is significant at p < 0.05.

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